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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.412. (page 560)

Simplify the expression using the product to a power property.
${(- 6 x^{3})}^{- 2}$

Short Answer

Expert verified

The solution is $\frac{1}{36 x^{6}}$ .

Step by step solution

01

Step 1. Given information.

The given expression is ${(- 6 x^{3})}^{- 2}$ .

02

Step 2. Simplify the expression.

Solve it as follows:

${(- 6 x^{3})}^{- 2} = {(- 6)}^{- 2} 路 {(x^{3})}^{- 2} {(- 6 x^{3})}^{- 2} = \frac{1}{{(- 6)}^{2}} 路 \frac{1}{{(x^{3})}^{2}} {(- 6 x^{3})}^{- 2} = \frac{1}{36 x^{6}}$

03

Step 3. Simplified answer.

Hence, the simplified expression is $\frac{1}{36 x^{6}}$ .

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