Chapter 8: Q 24. (page 918)

In the following exercises, simplify.
$\frac{36 v^{3} w^{3}}{27 v w^{3}}$

Short Answer

Expert verified

The result is $\frac{4 v^{5}}{3}$ .

Step by step solution

Step 1. Given information.

Consider the given rational expression.

$\frac{36 v^{3} w^{3}}{27 v w^{3}}$

Step 2. Rewrite the fraction.

Write the numerator and denominator showing the common factors.

$\begin{array}{l} \frac{36 v^{3} w^{3}}{27 v w^{3}} = \frac{2 \cdot 2 \cdot 3 \cdot 3 \cdot v \cdot v^{5} \cdot w^{3}}{3 \cdot 3 \cdot 3 \cdot v \cdot w^{3}} \\ = \frac{2 \cdot 2 \cdot v^{5}}{3} \\ = \frac{4 v^{5}}{3} \end{array}$

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In the following exercises, simplify.
$\frac{36 v^{3} w^{3}}{27 v w^{3}}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Rewrite the fraction.

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In the following exercises, simplify.36v3w327vw3

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Rewrite the fraction.

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

In the following exercises, simplify.
$\frac{36 v^{3} w^{3}}{27 v w^{3}}$