Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-4 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises: 51

Answer

$(y^{-4})^{-3}=y^{12}$

Work Step by Step

$(y^{-4})^{?}=y^{12}$ To raise a power to a power, we multiply the exponents. Therefore, in order for this equation to be correct, the product of $-4$ and the second exponent must equal $12$. The only way this would work is if the second exponent is $-3$, because $-4\times-3=12$. Therefore the correct equation is $(y^{-4})^{-3}=y^{12}$
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