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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: 289. (page 551)

$20 m^{8} n^{4} 梅 (30 m^{5} n^{9})$

Short Answer

Expert verified

$\frac{2 m^{3}}{3 n^{5}}$

Step by step solution

01

Step 1

Rewrite as a fraction and use fraction multiplication.

= \frac{2 m^{8} n^{4}}{30 m^{5} n^{9}}

02

Step 2

Use the quotient property to simplify.

$= \frac{20}{30} . \frac{m^{8}}{m^{5}} . \frac{n^{4}}{n^{9}} = \frac{2}{3} . m^{3} . \frac{1}{n^{5}}$

03

Step 3

Multiply the results to get the answer.

$= \frac{2 m^{3}}{3 n^{5}}$

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