Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 0 - Section 0.2 - Exponents and Radicals - Exercises - Page 16: 26

Answer

By the formulas given on page eight and nine, $\frac{x^2yz^2}{(xyz^{-1})^{-1}} = x^3y^2z$.

Work Step by Step

By the formulas given on page eight and nine, $\frac{x^2yz^2}{(xyz^{-1})^{-1}} = \frac{x^2yz^2}{x^{-1}y^{-1}z^{(-1)\times(-1)}} = \frac{x^2yz^2}{x^{-1}y^{-1}z} = x^{2-(-1)}y^{1 - (-1)}z^{2-1}= x^3y^2z$.
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