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 - 7-4 Division Properties of Exponents - Practice and Problem-Solving Exercises - Page 442: 11



Work Step by Step

You have $\frac{(5^2)(5^3)}{(5^3)(5^2)}$. Solve: $\frac{5^2*5^3}{5^3*5^2}$ -remove the parentheses and add the exponents since you are multiplying them- $\frac{5^5}{5^5}$ -apply the rule that $\frac{a}{a}$=1- =1 So, the blank should be filled with 0 as any number to the zeroth power is 1.
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