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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 158 (page 522)

Simplify ${(\frac{k^{- 2} k^{8}}{k^{3}})}^{2}$

Short Answer

Expert verified

Simplified expression is $k^{6}$

Step by step solution

01

Given information

Simplify ${(\frac{k^{- 2} k^{8}}{k^{3}})}^{2}$

02

Simplification

Here

{(\frac{k^{- 2} k^{8}}{k^{3}})}^{2} = {(k^{- 2 + 8 - 3})}^{2} = {(k^{3})}^{2} = k^{3 \times 2} = k^{6}

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