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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 85 (page 520)

In the following exercises, simplify each expression using the properties for exponents.
$m^{x} \cdot m^{3}$

Short Answer

Expert verified

The simplified form of given expression $m^{x} \cdot m^{3} = m^{x + 3}$

Step by step solution

01

Step 1. Given Information

In the given question we have to simplify the given expression:

$m^{x} \cdot m^{3}$

02

Step 1. The given expression is mx·m3

Use the Product Property, $a^{m} \cdot a^{n} = a^{m + n}$

$m^{x} \cdot m^{3} = m^{x + 3}$

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Most popular questions from this chapter

Simplify $\frac{{(- 4 m^{- 3})}^{2} {(5 m^{4})}^{3}}{{(- 10 m^{6})}^{3}}$

Simplify ${(\frac{1}{3} m^{3} n^{2})}^{4} {(9 m^{8} n^{3})}^{2}$

Multiply each pair of conjugates using the product of the conjugates pattern.

$(m + \frac{2}{3} n) (m - \frac{2}{3} n)$

In the following exercises . Simplify the expression

$Subtract (m^{2} - 7 m n - 3 n^{2}) from (m^{2} + n^{2})$

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