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 - 7-1 Zero and Negative Exponents - Practice and Problem-Solving Exercises - Page 422: 40



Work Step by Step

We follow the instructions and plug -3 in for r and 5 in for s. This leaves us with the expression: $\frac{5^{0}}{(-3)^{-2}}$ Recall the equation: $a^{-n}= \frac{1}{a^{n}}$. Thus, we put $-3^{-2}$ in the numerator of the fraction with a positive exponent. Thus, we find that the expression becomes: $5^{0} \times (-3)^{2}=9$ (Recall, anything raised to the zeroth power is 1).
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