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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.399. (page 560)

Simplify the expression using the product property.
${(3^{2})}^{5}$

Short Answer

Expert verified

The solution is $3^{10}$ .

Step by step solution

01

Step 1. Given information.

The given expression is ${(3^{2})}^{5}$ .

02

Step 2. Simplify the expression.

Use property ${(a^{m})}^{n} = a^{m n}$ .

Solve it as follows:
${(3^{2})}^{5} = 3^{2 路 5} {(3^{2})}^{5} = 3^{10}$

03

Step 3. Simplified answer.

Hence, the simplified expression is $3^{10}$ .

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