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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 160 (page 522)

Simplify $\frac{{(- 4 m^{- 3})}^{2} {(5 m^{4})}^{3}}{{(- 10 m^{6})}^{3}}$

Short Answer

Expert verified

Simplified expression is $- 2 m^{- 12}$

Step by step solution

Given information

Simplify $\frac{{(- 4 m^{- 3})}^{2} {(5 m^{4})}^{3}}{{(- 10 m^{6})}^{3}}$

Simplification

Here

$\frac{{(- 4 m^{- 3})}^{2} {(5 m^{4})}^{3}}{{(- 10 m^{6})}^{3}} = \frac{{(- 4)}^{2} {(m^{- 3})}^{2} {(5)}^{3} {(m^{4})}^{3}}{{(- 10)}^{3} {(m^{6})}^{3}} = \frac{16 m^{- 6} 脳 125 m^{12}}{- 1000 m^{18}} = - 2 m^{- 6 + 12 - 18} = - 2 m^{- 12}$

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Simplify-4m-325m43-10m63

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Simplify $\frac{{(- 4 m^{- 3})}^{2} {(5 m^{4})}^{3}}{{(- 10 m^{6})}^{3}}$