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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. 293 (page 551)

In the following exercises, divide the monomials.
$\frac{(- 18 p^{4} q^{7}) (- 6 p^{3} q^{8})}{- 36 p^{12} q^{10}}$

Short Answer

Expert verified

The required answer is $\frac{- 3 q^{5}}{p^{5}}$ .

Step by step solution

01

Step 1. Given Information

Given expression: $\frac{(- 18 p^{4} q^{7}) (- 6 p^{3} q^{8})}{- 36 p^{12} q^{10}}$

02

Step 2. Calculation

We have, $\frac{(- 18 p^{4} q^{7}) (- 6 p^{3} q^{8})}{- 36 p^{12} q^{10}}$

$= \frac{108 p^{7} q^{15}}{- 36 p^{12} q^{10}} = \frac{108}{- 36} 路 \frac{p^{7}}{p^{12}} 路 \frac{q^{15}}{q^{10}}$ use fraction multiplication

$= \frac{- 3 q^{5}}{p^{5}}$ simplify and use quotient property

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