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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.415. (page 560)

Simplify the expression using the quotient to a power property.
${(\frac{3 x y^{2}}{z})}^{4}$

Short Answer

Expert verified

The solution is $\frac{81 x^{4} y^{8}}{z^{4}}$ .

Step by step solution

01

Step 1. Given information.

The given expression is ${(\frac{3 x y^{2}}{z})}^{4}$ .

02

Step 2. Simplify the expression.

Solve it as follows:

${(\frac{3 x y^{2}}{z})}^{4} = \frac{3^{4} x^{4} {(y^{2})}^{4}}{z^{4}} {(\frac{3 x y^{2}}{z})}^{4} = \frac{81 x^{4} y^{8}}{z^{4}}$

03

Step 3. Simplified answer.

Hence, the simplified expression is $\frac{81 x^{4} y^{8}}{z^{4}}$ .

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