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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. 290 (page 551)

In the following exercises, divide the monomials.
$\frac{18 a^{4} b^{8}}{- 27 a^{9} b^{5}}$

Short Answer

Expert verified

The required answer is $- \frac{2 b^{3}}{3 a^{5}}$ .

Step by step solution

01

Step 1. Given Information

Given expression: $\frac{18 a^{4} b^{8}}{- 27 a^{9} b^{5}}$

02

Step 2. Calculation

We have the expression

$\frac{18 a^{4} b^{8}}{- 27 a^{9} b^{5}}$

$= \frac{18}{- 27} 路 \frac{a^{4}}{a^{9}} 路 \frac{b^{8}}{b^{5}}$ write using fraction multiplication

$= \frac{2}{- 3} 路 \frac{1}{a^{5}} 路 b^{3}$ simplify and using quotient property

$= - \frac{2 b^{3}}{3 a^{5}}$ multiply

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