Answered: Geometry Question

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Expert Solution

Step 1

Consider the following expression:

${(\frac{x^{5}}{- 2})}^{- 3}$

Use following formulae to simplify above expression:

$x^{- n} = \frac{1}{x^{n}} {(x^{m})}^{n} = x^{m \times n}$

$\begin{array}{rcl} {(\frac{x^{5}}{- 2})}^{- 3} & = & {(\frac{- 2}{x^{5}})}^{3} \\ = & \frac{{(- 2)}^{3}}{x^{5 \times 3}} \\ = & \frac{- 8}{x^{15}} \\ = & - 8 x^{- 15} \end{array}$

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