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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. 291 (page 551)

In the following exercises, divide the monomials.
$\frac{45 x^{5} y^{9}}{- 60 x^{8} y^{6}}$

Short Answer

Expert verified

The required solution is $- \frac{3 y^{3}}{4 x^{3}}$ .

Step by step solution

01

Step 1. Given Information

Given expression: $\frac{45 x^{5} y^{9}}{- 60 x^{8} y^{6}}$

02

Step 2. Calculation

We have the expression,

$\frac{45 x^{5} y^{9}}{- 60 x^{8} y^{6}}$

$= \frac{45}{- 60} 路 \frac{x^{5}}{x^{8}} 路 \frac{y^{9}}{y^{6}}$ use fraction multiplication

$= \frac{3}{- 4} 路 \frac{1}{x^{3}} 路 y^{3}$ simplify and use the quotient property

$= - \frac{3 y^{3}}{4 x^{3}}$ multiply

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