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: 49

Answer

$(x^{\frac{6}{7}})^{7}=x^{6}$

Work Step by Step

$(x^{?})^{7}=x^{6}$ To raise a power to a power, we multiply the exponents. Therefore, in order for this equation to be correct, the product of $7$ and the first exponent must equal $6$. The only way this would work is if the first exponent is $\frac{6}{7}$ because $\frac{6}{7}\times7=6$. Therefore, the correct equation is $(x^{\frac{6}{7}})^{7}=x^{6}$
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