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: 20

Answer

$-x^1x^{-1}y^{-1} = -\frac{1}{y}$

Work Step by Step

By the formulas given on page eight and nine, $-x^1y^{-1}x^{-1} = -x^{1+(-1)}y^{-1} = -x^{1-1} y^{-1} = -x^{0}y^{-1} = -x^0\frac{1}{y^1} = -\frac{x^0}{y}$. By the definition of zero exponent, $x^0 = 1$. So $-x^1x^{-1}y^{-1} = -\frac{x^0}{y} = -\frac{1}{y}$.
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