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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.401. (page 560)

Simplify the expression using the product property.
$x^{- 3} 路 x^{9}$

Short Answer

Expert verified

The solution is $x^{6}$ .

Step by step solution

01

Step 1. Given information.

The given expression is $x^{- 3} 路 x^{9}$ .

02

Step 2. Simplify the expression.

Use the result, $a^{m} 路 a^{n} = a^{m + n}$ .

Solve it as follows:
$x^{- 3} 路 x^{9} = x^{- 3 + 9} x^{- 3} 路 x^{9} = x^{6}$

03

Step 3. Simplified answer.

Hence, the simplified expression is $x^{6}$ .

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