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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 11: Q. 289 (page 1069)

Divide Monomials
In the following exercises, divide the monomials.
$20 m^{8} n^{4} 梅 (30 m^{5} n^{9})$

Short Answer

Expert verified

Solution of $20 m^{8} n^{4} 梅 (30 m^{5} n^{9})$ is $\frac{2 m^{3}}{3 n^{5}}$

Step by step solution

01

Step 1. Given Information

We have the expression

$20 m^{8} n^{4} 梅 (30 m^{5} n^{9})$

We know that when we divide monomials with more than one variable, we write one fraction for each variable.

Rewrite as a fraction.

$\frac{20 m^{8} n^{4}}{30 m^{5} n^{9}}$

02

Step 2. Solve

Use fraction multiplication.

$\frac{20}{30} 脳 \frac{m^{8}}{m^{5}} 脳 \frac{n^{4}}{n^{9}}$

Simplify and Use the Quotient Property.

$\frac{2}{3} 脳 m^{3} 脳 \frac{1}{n^{5}}$

Multiply:

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

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Most popular questions from this chapter

Simplify the rational expression $\frac{20 - 5 y}{y^{2} - 16}$

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Use the Quotient Property to simplify square roots.

(a) $\sqrt{\frac{72 x^{5}}{y^{6}}}$

(b) $\sqrt[5]{\frac{96 r^{11}}{s^{5}}}$

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