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| exponential growth and decay answer key: College Algebra Jay Abramson, 2018-01-07 College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they've learned. Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction. Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have a cohort that need the prerequisite skills built into the course. Chapter 1: Prerequisites Chapter 2: Equations and Inequalities Chapters 3-6: The Algebraic Functions Chapter 3: Functions Chapter 4: Linear Functions Chapter 5: Polynomial and Rational Functions Chapter 6: Exponential and Logarithm Functions Chapters 7-9: Further Study in College Algebra Chapter 7: Systems of Equations and Inequalities Chapter 8: Analytic Geometry Chapter 9: Sequences, Probability and Counting Theory |
| exponential growth and decay answer key: Precalculus Jay P. Abramson, Valeree Falduto, Rachael Gross (Mathematics teacher), David Lippman, Melonie Rasmussen, Rick Norwood, Nicholas Belloit, Jean-Marie Magnier, Harold Whipple, Christina Fernandez, 2014-10-23 Precalculus is intended for college-level precalculus students. Since precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of OpenStax College Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. OpenStax will also be releasing College Algebra and Algebra and trigonometry titles tailored to the particular scope, sequence, and pedagogy of those courses.--Preface. |
| exponential growth and decay answer key: Intermediate Algebra 2e Lynn Marecek, MaryAnne Anthony-Smith, Andrea Honeycutt Mathis, 2020-05-06 |
| exponential growth and decay answer key: Introductory Business Statistics 2e Alexander Holmes, Barbara Illowsky, Susan Dean, 2023-12-13 Introductory Business Statistics 2e aligns with the topics and objectives of the typical one-semester statistics course for business, economics, and related majors. The text provides detailed and supportive explanations and extensive step-by-step walkthroughs. The author places a significant emphasis on the development and practical application of formulas so that students have a deeper understanding of their interpretation and application of data. Problems and exercises are largely centered on business topics, though other applications are provided in order to increase relevance and showcase the critical role of statistics in a number of fields and real-world contexts. The second edition retains the organization of the original text. Based on extensive feedback from adopters and students, the revision focused on improving currency and relevance, particularly in examples and problems. This is an adaptation of Introductory Business Statistics 2e by OpenStax. You can access the textbook as pdf for free at openstax.org. Minor editorial changes were made to ensure a better ebook reading experience. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 4.0 International License. |
| exponential growth and decay answer key: Finite Difference Computing with Exponential Decay Models Hans Petter Langtangen, 2016-06-10 This text provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programming, verification, and visualization. The pedagogical strategy is to use one case study – an ordinary differential equation describing exponential decay processes – to illustrate fundamental concepts in mathematics and computer science. The book is easy to read and only requires a command of one-variable calculus and some very basic knowledge about computer programming. Contrary to similar texts on numerical methods and programming, this text has a much stronger focus on implementation and teaches testing and software engineering in particular. |
| exponential growth and decay answer key: Modeling, Functions, and Graphs Katherine Franklin, Katherine Yoshiwara, Irving Drooyan, 1991 While maintaining its focus on functions and graphs this book gives the adequately prepared algebra student the right start and flexible goals. |
| exponential growth and decay answer key: Calculus Volume 3 Edwin Herman, Gilbert Strang, 2016-03-30 Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations. |
| exponential growth and decay answer key: Precalculus Jay Abramson, 2018-01-07 Precalculus is adaptable and designed to fit the needs of a variety of precalculus courses. It is a comprehensive text that covers more ground than a typical one- or two-semester college-level precalculus course. The content is organized by clearly-defined learning objectives, and includes worked examples that demonstrate problem-solving approaches in an accessible way. Coverage and Scope Precalculus contains twelve chapters, roughly divided into three groups. Chapters 1-4 discuss various types of functions, providing a foundation for the remainder of the course. Chapter 1: Functions Chapter 2: Linear Functions Chapter 3: Polynomial and Rational Functions Chapter 4: Exponential and Logarithmic Functions Chapters 5-8 focus on Trigonometry. In Precalculus, we approach trigonometry by first introducing angles and the unit circle, as opposed to the right triangle approach more commonly used in College Algebra and Trigonometry courses. Chapter 5: Trigonometric Functions Chapter 6: Periodic Functions Chapter 7: Trigonometric Identities and Equations Chapter 8: Further Applications of Trigonometry Chapters 9-12 present some advanced Precalculus topics that build on topics introduced in chapters 1-8. Most Precalculus syllabi include some of the topics in these chapters, but few include all. Instructors can select material as needed from this group of chapters, since they are not cumulative. Chapter 9: Systems of Equations and Inequalities Chapter 10: Analytic Geometry Chapter 11: Sequences, Probability and Counting Theory Chapter 12: Introduction to Calculus |
| exponential growth and decay answer key: Beginning and Intermediate Algebra Tyler Wallace, 2018-02-13 Get Better Results with high quality content, exercise sets, and step-by-step pedagogy! Tyler Wallace continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Beginning and Intermediate Algebra. The text reflects the compassion and insight of its experienced author with features developed to address the specific needs of developmental level students. Throughout the text, the author communicates to students the very points their instructors are likely to make during lecture, and this helps to reinforce the concepts and provide instruction that leads students to mastery and success. The exercises, along with the number of practice problems and group activities available, permit instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills. In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class as they do inside class with their instructor. |
| exponential growth and decay answer key: Active Calculus 2018 Matthew Boelkins, 2018-08-13 Active Calculus - single variable is a free, open-source calculus text that is designed to support an active learning approach in the standard first two semesters of calculus, including approximately 200 activities and 500 exercises. In the HTML version, more than 250 of the exercises are available as interactive WeBWorK exercises; students will love that the online version even looks great on a smart phone. Each section of Active Calculus has at least 4 in-class activities to engage students in active learning. Normally, each section has a brief introduction together with a preview activity, followed by a mix of exposition and several more activities. Each section concludes with a short summary and exercises; the non-WeBWorK exercises are typically involved and challenging. More information on the goals and structure of the text can be found in the preface. |
| exponential growth and decay answer key: Discovering Advanced Algebra Jerald Murdock, Ellen Kamischke, 2010 Changes in society and the workplace require a careful analysis of the algebra curriculum that we teach. The curriculum, teaching, and learning of yesterday do not meet the needs of today's students. |
| exponential growth and decay answer key: AP Calculus AB & BC Prep Plus 2019-2020 Kaplan Test Prep, 2018-08-07 Kaplan's AP Calculus AB & BC Prep Plus 2019-2020 is completely restructured and aligned with the current AP exams, giving you efficient review of the most-tested content to quickly build your skills and confidence. With bite-sized, test-like practice sets and customizable study plans, our guide fits your schedule. Personalized Prep. Realistic Practice. Six full-length Kaplan practice exams and an online test scoring tool to convert your raw score into a 1–5 scaled score Pre- and post-quizzes in each chapter so you can monitor your progress Customizable study plans tailored to your individual goals and prep time to help you get the score you need in the time you have Online quizzes and workshops for additional practice Focused content review on the essential concepts to help you make the most of your study time Test-taking strategies designed specifically for AP Calculus Expert Guidance We know the test—our AP experts make sure our practice questions and study materials are true to the exam We know students—every explanation is written to help you learn, and our tips on the exam structure and question formats will help you avoid surprises on Test Day We invented test prep—Kaplan (www.kaptest.com) has been helping students for 80 years, and more than 95% of our students get into their top-choice schools |
| exponential growth and decay answer key: Acing the New SAT Math Thomas Hyun, 2016-05-01 SAT MATH TEST BOOK |
| exponential growth and decay answer key: Precalculus Robert F. Blitzer, 2014 Bob Blitzer has inspired thousands of students with his engaging approach to mathematics, making this beloved series the #1 in the market. Blitzer draws on his unique background in mathematics and behavioral science to present the full scope of mathematics with vivid applications in real-life situations. Students stay engaged because Blitzer often uses pop-culture and up-to-date references to connect math to students' lives, showing that their world is profoundly mathematical. |
| exponential growth and decay answer key: Big Ideas Math Ron Larson, Laurie Boswell, 2018 |
| exponential growth and decay answer key: Mathematics Standard Level for IB Diploma Exam Preparation Guide Paul Fannon, Vesna Kadelburg, Ben Woolley, Stephen Ward, 2014-03-27 A new series of Exam Preparation guides for the IB Diploma Mathematics HL and SL and Mathematical Studies. This exam preparation guide for the IB Diploma Mathematics Standard Level course breaks the course down into chapters that summarise material and present revision questions by exam question type, so that revision can be highly focused to make best use of students' time. Students can stretch themselves to achieve their best with 'going for the top' questions for those who want to achieve the highest results. Worked solutions for all the mixed and 'going for the top' questions are included, plus exam hints throughout. Guides for Mathematics Higher Level and Mathematical Studies are also available. |
| exponential growth and decay answer key: Algebra and Trigonometry Jay P. Abramson, Valeree Falduto, Rachael Gross (Mathematics teacher), David Lippman, Rick Norwood, Melonie Rasmussen, Nicholas Belloit, Jean-Marie Magnier, Harold Whipple, Christina Fernandez, 2015-02-13 The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs.--Page 1. |
| exponential growth and decay answer key: Calculus Harley Flanders, 2013-03-09 Preface Objectives of This Book • To teach calculus as a laboratory science, with the computer and software as the lab, and to use this lab as an essential tool in learning and using calculus. • To present calculus and elementary differential equations with a minimum of fuss-through practice, not theory. • To stress ideas of calculus, applications, and problem solving, rather than definitions, theorems, and proofs. • Toemphasize numerical aspects: approximations, order of magnitude, concrete answers to problems. • To organize the topics consistent with the needs of students in their concurrent science and engineering courses. The subject matter of calculus courses has developed over many years, much by negotiation with the disciplines calculus serves, particularly engineering. This text covers the standard topics in their conventional order. Mostly because of commercial pressures, calculus texts have grown larger and larger, trying to include everything that anyone conceivably would cover. Calculus texts have also added more and more expensive pizzazz, up to four colors now. This text is lean; it eliminates most of the fat of recent calculus texts; it has a simple physical black/white format; it ignores much of current calculus culture. The computer has forced basic changes in emphasis and how to teach calculus. |
| exponential growth and decay answer key: Algebra II Is Easy! So Easy Nathaniel Max Rock, 2006-02 Rock provides a guide to learning and understanding Algebra II. (Education/Teaching) |
| exponential growth and decay answer key: Algebra 1 , 2014-07-22 This student-friendly, all-in-one workbook contains a place to work through Explorations as well as extra practice workskeets, a glossary, and manipulatives. The Student Journal is available in Spanish in both print and online. |
| exponential growth and decay answer key: Algebra 2 Connections Judy Kysh, Evra Baldinger, Leslie Dietiker, 2007-06-30 |
| exponential growth and decay answer key: Crush the SAT with Growth Mindset Stephen Tarsitano, Paul Koontz, 2018-06-26 The first book to apply growth mindset strategies to SAT prep. Preparing to take the SAT can seem overwhelming and stressful, making it all too easy to give up or zone out on your prep work. However, if you follow the growth-mindset approach outlined in this book, you will stay focused and driven and continue to improve until you surpass your highest expectations on test day. Research has shown that adopting a growth mindset is directly linked to increased test scores, so the authors of this helpful study guide have interwoven this revolutionary approach to teaching into every aspect of their SAT prep. In addition to the test prep and practice questions, the authors impart powerful advice on how you can overcome stress and anxiety while staying positive and setting goals during the months leading up to the test. The strategies in Crush the SAT with Growth Mindset will be invaluable tools for your SAT test day and for your life moving forward into college and beyond. |
| exponential growth and decay answer key: Mathematics Framework for California Public Schools California. Curriculum Development and Supplemental Materials Commission, 1999 |
| exponential growth and decay answer key: Algebra 1, Student Edition McGraw Hill, 2012-07-06 The only program that supports the Common Core State Standards throughout four-years of high school mathematics with an unmatched depth of resources and adaptive technology that helps you differentiate instruction for every student. Connects students to math content with print, digital and interactive resources. Prepares students to meet the rigorous Common Core Standards with aligned content and focus on Standards of Mathematical Practice. Meets the needs of every student with resources that enable you to tailor your instruction at the classroom and indivdual level. Assesses student mastery and achievement with dynamic, digital assessment and reporting. Includes Print Student Edition |
| exponential growth and decay answer key: SAT Math For Dummies with Online Practice Mark Zegarelli, 2021-10-15 Go into the SAT relaxed and confident by preparing with this straightforward and practical math resource A great math score on the SAT can unlock countless opportunities, especially in the STEM fields. With the help of SAT Math For Dummies, you’ll have what it takes to succeed on this challenging section of the exam. This helpful guide offers the tools and techniques you need to hone your strengths, eliminate your weaknesses, and walk into the testing room poised and prepared to conquer the math section of the SAT. You’ll learn to tackle basic and advanced algebra, geometry, and trigonometry—with and without a calculator, just like you’ll need to do on the test. The book also offers intuitive reviews of critical math concepts and skills – like evaluating, simplifying, and factoring algebra expressions – while preparing you for common pitfalls and traps that ensnare less prepared students. This up-to-date resource will help you: Reduce test anxiety and stress by preparing with resources that mirror the tasks you’ll have to perform on test day Master the time-management and other test-taking strategies you’ll need to get the results you want Prove you’re ready for the test by practicing with online resources that include three complete practice tests Effective practice and preparation are the keys to succeeding on the math section of the SAT. And with SAT Math For Dummies in your arsenal, you’ll have the strategies, knowledge, and skills that make extraordinary results possible. |
| exponential growth and decay answer key: Maths AQA Bob Hartman, 2006 Written by examiners and practising teachers, this work offers study and homework support throughout GCSE. It is useful as a reference source, a lesson back-up and a revision guide. |
| exponential growth and decay answer key: Integrated Math, Course 1, Student Edition CARTER 12, McGraw-Hill Education, 2012-03-01 Includes: Print Student Edition |
| exponential growth and decay answer key: The Limits to Growth Donella H. Meadows, 1972 Examines the factors which limit human economic and population growth and outlines the steps necessary for achieving a balance between population and production. Bibliogs |
| exponential growth and decay answer key: Acing the New SAT I Math , 2004-09 Acing the New SAT I Math is a test prep guide for the math sections of the new SAT I. The booktakes a learning fundamentals approach that sets it apart from other SAT materials. Written by a test prep teacher of ten years, Acing focuses on solid teaching and practice, to help students master all the skills they need for the SAT I math. The book covers all the math topics found on the new SAT I, organized by subject into twenty chapters. Each chapter contains a tutorial, exercise set, and solutions. Three full-length practice tests are provided at the end of the book.Because Acings emphasis is learning and mastering math concepts, the book includes 500+ practice problems (not including example problems or practice tests)more than are found in other test prep books. It also includes the most detailed solutions guides on the market, taking students step-by-step through each problem to help them identify their mistakes and hone their skills.Acing also seeks to eliminate the wordiness found in most other test prep books, employing a 2-column format in the tutorials. Key terms and illustrations in the left-hand column present the math concepts as clearly and concisely as possible. Example problems in the right-hand column enable students to simultaneously learn the application of these concepts.In all areas, Acing is designed with an emphasis on clear and direct teaching, and with the belief that practice is the best preparation for any exam, including a standardized test like the SAT. Skipping the tricks and gimmicks, Acing stands apart from all the other test prep guides on the market. The book is also written to be a stand-alone resource, so students can prepare for the SAT and PSAT on their own, independent of outside instruction. |
| exponential growth and decay answer key: Advanced Engineering Mathematics Michael Greenberg, 2013-09-20 Appropriate for one- or two-semester Advanced Engineering Mathematics courses in departments of Mathematics and Engineering. This clear, pedagogically rich book develops a strong understanding of the mathematical principles and practices that today's engineers and scientists need to know. Equally effective as either a textbook or reference manual, it approaches mathematical concepts from a practical-use perspective making physical applications more vivid and substantial. Its comprehensive instructional framework supports a conversational, down-to-earth narrative style offering easy accessibility and frequent opportunities for application and reinforcement. |
| exponential growth and decay answer key: Pure Core Mathematics 3 & 4 Sam Boardman, Tony Clough, David Evans, 2005 Pure Core Maths 3 4 was written to provide thorough preparation for the revised 2004 specification. Based on the first editions, this series helps to prepare for the new exams. |
| exponential growth and decay answer key: Logarithms and Exponentials Essential Skills Practice Workbook with Answers Chris McMullen, 2020-07-27 Master essential logarithm and exponential skills through helpful explanations, instructive examples, and plenty of practice exercises with answers. Authored by experienced teacher, Chris McMullen, Ph.D., this self-study math workbook covers: logarithms of various bases and natural logarithms, the change of base formula, logarithm rules like the sum and difference formulas, exponential functions, hyperbolic functions and their inverses, graphs of logarithms, exponentials, and hyperbolic functions, a concise review of exponents in the first chapter, Euler's number, applications such as population growth, continuously compounded interest, and radioactive nuclear decays, an introduction to complex numbers in the last chapter, an optional chapter covering the calculus of logarithms, exponentials, and hyperbolic functions. The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook of the Improve Your Math Fluency series to share his strategies for working with logarithms and exponentials. |
| exponential growth and decay answer key: Differential Equations with Boundary-value Problems Dennis G. Zill, Michael R. Cullen, 2005 Now enhanced with the innovative DE Tools CD-ROM and the iLrn teaching and learning system, this proven text explains the how behind the material and strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This accessible text speaks to students through a wealth of pedagogical aids, including an abundance of examples, explanations, Remarks boxes, definitions, and group projects. This book was written with the student's understanding firmly in mind. Using a straightforward, readable, and helpful style, this book provides a thorough treatment of boundary-value problems and partial differential equations. |
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| exponential growth and decay answer key: Solid Mechanics: a Variational Approach Clive L. Dym, Irving Herman Shames, 1973 |
| exponential growth and decay answer key: SpringBoard Mathematics , 2015 |
| exponential growth and decay answer key: Regents Exams and Answers Algebra I Revised Edition Gary M. Rubinstein, 2021-01-05 Barron’s Regents Exams and Answers: Algebra I provides essential review for students taking the Algebra I Regents, including actual exams administered for the course, thorough answer explanations, and comprehensive review of all topics. All Regents test dates for 2020 have been canceled. Currently the State Education Department of New York has released tentative test dates for the 2021 Regents. The dates are set for January 26-29, 2021, June 15-25, 2021, and August 12-13th. This edition features: Six actual, administered Regents exams so students can get familiar with the test Comprehensive review questions grouped by topic, to help refresh skills learned in class Thorough explanations for all answers Score analysis charts to help identify strengths and weaknesses Study tips and test-taking strategies All pertinent math topics are covered, including sets, algebraic language, linear equations and formulas, ratios, rates, and proportions, polynomials and factoring, radicals and right triangles, area and volume, and quadratic and exponential functions. Looking for additional practice and review? Check out Barron’s Regents Algebra I Power Pack two-volume set, which includes Let’s Review Regents: Algebra I in addition to Regents Exams and Answers: Algebra I. |
| exponential growth and decay answer key: Precalculus Bernard Kolman, Arnold Shapiro, 2014-05-10 Precalculus: Functions & Graphs provides a complete and self-contained presentation of the basic mathematical techniques and ideas required for the successful completion of a calculus course. The book emphasizes the learning and understanding of the concept of a function, using function notation, and being able to sketch graphs of functions with ease. The text employs a number of pedagogic devices that have been proven effective in teaching college mathematics. The mathematical concepts are presented in a style that is informal, supportive, and user-friendly. Progress checks, warnings, and features are inserted. Every chapter contains a summary, including terms and symbols with appr This textbook is intended for college students. |
| exponential growth and decay answer key: Standards-Driven Power Algebra II Nathaniel Rock, 2006-02 This textbook and classroom supplement for students, parents, teachers, and administrators features hands-on, standards-driven study guide material on how to understand and retain Algebra II. (Education/Teaching) |
| exponential growth and decay answer key: Regents Exams and Answers: Algebra II Revised Edition Gary Michael Rubinstein, 2021-01-05 Barron's Regents Exams and Answers: Algebra II provides essential review for students taking the Algebra II exam, including actual exams administered for the course and thorough answer explanations, and comprehensive review of all topics. This edition features: Six actual, administered Regents exams so students have the practice they need to prepare for the test Comprehensive review questions grouped by topic, to help refresh skills learned in class Detailed explanations for all answers Score analysis charts to help identify strengths and weaknesses Study tips and test-taking strategies All algebra II topics are covered, including Polynomial Equations, Rational Equations, Exponential and Logarithmic Equations, Systems of Equations with Three Variables, Functions, Sequences, and Probability. |
How can I read this in English? m³ (3-small 3) - exponent
Apr 22, 2010 · I am wondering how I can read this in English. For example, m³ , m². (triple m? double m?) I have no idea. Please help me!
How to pronounce 5x10^5, e.g. | WordReference Forums
Mar 18, 2013 · Normally I'd say five by ten to the five and two by ten to the eight.The power can be expressed by longer forms - we say ten to the five, ten to the power of five, or ten to the …
2 to the n - WordReference Forums
Apr 28, 2022 · The "proper" way to represent mathematical powers, i.e. a base number and an exponent, is an issue of style, which is often dictated to you by whoever writes your paycheck …
elevamento a potenza - "X alla" - WordReference Forums
Oct 17, 2007 · Ciao Qualcuno mi sa dire come si traduce in inglese una frase tipo: "3 alla quinta"? (oppure "3 elevato alla quinta")? e in generale come si fanno le potenze? So che un numero …
How can I read this in English? m³ (3-small 3) - exponent
Apr 22, 2010 · I am wondering how I can read this in English. For example, m³ , m². (triple m? double m?) I have no idea. Please help me!
How to pronounce 5x10^5, e.g. | WordReference Forums
Mar 18, 2013 · Normally I'd say five by ten to the five and two by ten to the eight.The power can be expressed by longer forms - we say ten to the five, ten to the power of five, or ten to the fifth …
2 to the n - WordReference Forums
Apr 28, 2022 · The "proper" way to represent mathematical powers, i.e. a base number and an exponent, is an issue of style, which is often dictated to you by whoever writes your paycheck …
elevamento a potenza - "X alla" - WordReference Forums
Oct 17, 2007 · Ciao Qualcuno mi sa dire come si traduce in inglese una frase tipo: "3 alla quinta"? (oppure "3 elevato alla quinta")? e in generale come si fanno le potenze? So che un numero …
