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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. 139. (page 522)

In the following exercises, simplify each expression.
${(2 m^{6})}^{3}$

Short Answer

Expert verified

The simplified form of the given expression is $8 m^{18}$

Step by step solution

01

Step 1. Given information.

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

02

Step 2. Calculation & Simplify.

Calculation of expression using Product Property,

${(2 m^{6})}^{3} = {(2)}^{3} 路 {(m^{6})}^{3} = 8 路 {(m^{6})}^{3}$

Use power property

$8 . {(m^{6})}^{3} = 8 . m^{6.3} = 8 m^{18}$

Therefore, the simplified form of the given expression islocalid="1646808244649" $8 m^{18}$

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