Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-3 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises - Page 437: 61



Work Step by Step

When we raise a power to a power, we multiply the powers together and keep the base. Let's multiply the exponent of each term by the exponent outside of the parentheses: $(3^{(7)(2)})(3^{(-4)(3)})$ Multiply the exponents: $(3^{14})(3^{-12})$ We cannot leave the answer this way with negative exponents. When we multiply two numbers that have the same base but different exponents, we keep the base as-is and add the exponents: $3^{2}$ Evaluate the exponent: $9$
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