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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. 292 (page 551)

In the following exercises, divide the monomials.
$\frac{(10 m^{5} n^{4}) (5 m^{3} n^{6})}{25 m^{7} n^{5}}$

Short Answer

Expert verified

The required solution is $2 m n^{3}$ .

Step by step solution

01

Step 1. Given Information

Given expression: $\frac{(10 m^{5} n^{4}) (5 m^{3} n^{6})}{25 m^{7} n^{5}}$

02

Step 2. Calculation

We have the expression,

$\frac{(10 m^{5} n^{4}) (5 m^{3} n^{6})}{25 m^{7} n^{5}}$

$= \frac{50 m^{8} n^{10}}{25 m^{7} n^{5}}$ perform multiplication in the numerator

$= \frac{50}{25} 路 \frac{m^{8}}{m^{7}} 路 \frac{n^{10}}{n^{7}}$ use fraction multiplication

$= 2 路 m 路 n^{3}$ simplify and use the quotient property

$= 2 m n^{3}$ multiply

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