Algebra 1

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

Chapter 7 - Exponents and Exponential Functions - Chapter Review - 7-3 and 7-4 Multiplication Properties of Exponents - Page 465: 30

Answer

$(5^5)^3=5^{15}$

Work Step by Step

$(5^5)^?=5^{15}$ To raise a power to a power, we multiply the exponents. This means that the product of $5$ and the second exponent must be equal to $15$. This is only true if the second exponent is $3$ because $5\times3=15$ This gives us the equation $(5^5)^3=5^{15}$
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