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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. 5.74 (page 541)

Find the quotient $\frac{30 m^{5} n^{11}}{48 m^{10} n^{14}}$

Short Answer

Expert verified

The quotient is $\frac{5}{8 m^{5} n^{3}}$

Step by step solution

01

Step 1. Given information

$\frac{30 m^{5} n^{11}}{48 m^{10} n^{14}}$

02

Step 2. Divide the polynomial

Use the fraction multiplication

$\frac{30}{48} 路 \frac{m^{5}}{m^{10}} 路 \frac{n^{11}}{n^{14}}$

Simplify and use the quotient property.

$\frac{5}{8} 路 \frac{1}{m^{5}} 路 \frac{1}{n^{3}}$

Multiply

$\frac{5}{8 m^{5} n^{3}}$

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