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: 20

Answer

$ t^{(-14)}$

Work Step by Step

$(t^2)^{(-2)} \times (t^2)^{(-5)}$ When solving for the power of a power, we have to multiply the exponents. Solving, we get: $t^{(2\times-2)}\times t^{(2\times-5)}$ = $t^{(-4)} \times t ^{(-10)} = t^{(-4-10)}= t^{-14}$
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