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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.404. (page 560)

Simplify the expression using the product property.
${(m^{5})}^{- 1}$

Short Answer

Expert verified

The solution is $\frac{1}{m^{5}}$ .

Step by step solution

01

Step 1. Given information.

The given expression is ${(m^{5})}^{- 1}$ .

02

Step 2. Simplify the expression.

Solve it as follows:

${(m^{5})}^{- 1} = m^{- 5 路 1} {(m^{5})}^{- 1} = m^{- 5} {(m^{5})}^{- 1} = \frac{1}{m^{5}}$

03

Step 3. Simplified answer.

Hence, the simplified expression is $\frac{1}{m^{5}}$ .

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