Q. 470 In the following exercise, divid... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 470 (page 562)

In the following exercise, divide the monomials
$\frac{(42 r^{2} s^{4}) (54 r s^{2})}{(6 r s^{3}) (9 s)}$

Short Answer

Expert verified

The simplified form of $\frac{(42 r^{2} s^{4}) (54 r s^{2})}{(6 r s^{3}) (9 s)}$ is $42 r^{2} s^{2}$ .

Step by step solution

. Given information

The monomials: $\frac{(42 r^{2} s^{4}) (54 r s^{2})}{(6 r s^{3}) (9 s)}$

Step 2. Properties of exponents

$a^{m} 脳 a^{n} = a^{m + n} P r o d u c t p r o p e r e t y \frac{a^{m}}{a^{n}} = a^{m - n} Q u o t i e n t p r o p e r t y a^{- m} = \frac{1}{a^{m}} N e g a t i v e e x p o n e n t p r o p e r t y .$

Step 3. Simplification

$\frac{(42 r^{2} s^{4}) (54 r s^{2})}{(6 r s^{3}) (9 s)} = \frac{42}{6} 脳 \frac{r^{2}}{r} 脳 \frac{s^{4}}{s^{3}} 脳 \frac{54}{9} 脳 \frac{r}{1} 脳 \frac{s^{2}}{s} U \sin g q u o t i e n t p r o p e r t y = 7 脳 r^{2 - 1} 脳 s^{4 - 3} 脳 6 脳 r 脳 s^{2 - 1} = 42 脳 r 脳 s 脳 r 脳 s U \sin g p r o d u c t p r o p e r t y = 42 r^{2} s^{2}$

Thus simplified form of $\frac{(42 r^{2} s^{4}) (54 r s^{2})}{(6 r s^{3}) (9 s)} i s 42 r^{2} s^{2} .$

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91影视

In the following exercise, divide the monomials
$\frac{(42 r^{2} s^{4}) (54 r s^{2})}{(6 r s^{3}) (9 s)}$

Short Answer

Step by step solution

. Given information

Step 2. Properties of exponents

Step 3. Simplification

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91影视

In the following exercise, divide the monomials(42r2s4)(54rs2)(6rs3)(9s)

Short Answer

Step by step solution

. Given information

Step 2. Properties of exponents

Step 3. Simplification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Logic and Functions

Statistics

Pure Maths

Applied Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercise, divide the monomials
$\frac{(42 r^{2} s^{4}) (54 r s^{2})}{(6 r s^{3}) (9 s)}$