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 - Concept Byte - Page 424: 16


$ a.\quad$ We are multiplying two powers with the same base. One exponent is negative, and one is positive. The result has the same base and its exponent is the sum of exponents. $ b.\quad$ Prediction: $9^{5}\displaystyle \cdot 9^{-7}=9^{5-7}=9^{-2}=\frac{1}{9^{2}}=\frac{1}{81}$ $c.\qquad x^{n}\cdot x^{-m}=x^{n-m}$

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