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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. 294 (page 551)

In the following exercise, divide the monomials.
$\frac{(6 a^{4} b^{3}) (4 a b^{5})}{(12 a^{2} b) (a^{3} b)}$

Short Answer

Expert verified

The required answer is $2 b^{6}$ .

Step by step solution

01

Step 1. Given Information

Given expression: $\frac{(6 a^{4} b^{3}) (4 a b^{5})}{(12 a^{2} b) (a^{3} b)}$

02

Step 2. Calculation

We have, $\frac{(6 a^{4} b^{3}) (4 a b^{5})}{(12 a^{2} b) (a^{3} b)}$

$= \frac{24 a^{5} b^{8}}{12 a^{5} b^{2}}$ perform multiplication in numerator and denominator

$= \frac{24}{12} 路 \frac{a^{5}}{a^{5}} 路 \frac{b^{8}}{b^{2}}$ use fraction multiplication

$= 2 b^{6}$ simplify and use quotient property

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