Algebra 1

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

Chapter 7 - Exponents and Exponential Functions - 7-1 Zero and Negative Exponents - Practice and Problem-Solving Exercises - Page 418: 56

Answer

$a\cdot b^2$

Work Step by Step

For any variable with a negative exponent, you can flip the variable onto the other side of the fraction (numerator to denominator or denominator to numerator) and change the negative exponent to a positive exponent. For any variable with a positive exponent, if you flip the variable onto the other side of the fraction, you will change the positive exponent into a negative exponent. $\frac{a}{b^{-2}} = \frac{a*b^2}{1} = a \cdot b^2$
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