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 - Page 437: 47

Answer

$(b^{2})^{4}=b^{8}$

Work Step by Step

$(b^{2})^{?}=b^{8}$ To raise a power to a power, we multiply the exponents. Therefore, in order for this equation to be correct, the product of two and the second exponent must equal $8$. The only way this would work is if the second exponent is $4$ because $2\times4=8$. Therefore, the correct equation is $(b^{2})^{4}=b^{8}$
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