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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 11: Q. 386 (page 1069)

Multiply $\frac{3 {xy}^{2}}{8 y^{3}} . \frac{16 y^{2}}{24 x}$

Short Answer

Expert verified

Simplified expression is $\frac{1}{4 y} .$

Step by step solution

01

Step 1. Given data

Given that the expression is $\frac{3 {xy}^{2}}{8 y^{3}} . \frac{16 y^{2}}{24 x}$

02

Step 2. Simplification

$\frac{3 {xy}^{2}}{8 y^{3}} . \frac{16 y^{2}}{24 x} = \frac{1}{4 y}$

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Most popular questions from this chapter

Simplify the complex rational expression by writing it as division:

$\frac{\frac{1}{a} + \frac{1}{b}}{\frac{1}{a^{2}} - \frac{1}{b^{2}}}$

Simplify::
(a) $36^{\frac{1}{2}}$

(b) $8^{\frac{1}{3}}$

(c) $16^{\frac{1}{4}}$

In the following exercises, factor completely

$24 a^{4} - 9 a^{3}$ .

In the following exercises, factor each expression using any method $4 a^{2} + 5 a + 2$

In the following exercises, simplify.

a. $\sqrt{48 b^{5}} - \sqrt{75 b^{5}}$

b. $8 \sqrt[3]{64 q^{6}} - 3 \sqrt[3]{125 q^{6}}$

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