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: 44


$(m^{-36})^{\frac{1}{3}} = m^{-12}$

Work Step by Step

When we raise a power to a power, we multiply the powers together and keep the base. We have to think what number multiplied with $\frac{1}{3}$ will give us $-12$: $\frac{1}{3}x = -12$ Divide each side by $\frac{1}{3}$ to solve: $x = -36$ Let's rewrite the equation: $(m^{-36})^{\frac{1}{3}} = m^{-12}$
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