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Q3.

Expert-verified

Pre-algebra

Found in: Page 10

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Write the product using an exponent.

x∙x∙x∙x

The product of $x \cdot x \cdot x \cdot x$ using an exponent = $x^{4}$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1 – Explanation of the exponent formula

$a^{x} \to$ a is the base and x is exponent.

The power is the result of repeated multiplication of the same factor.

The expressions a^xthis means that a has been used as a factor x times.

Step 2: Write the product 5 · 5 · 5 · 5 in exponent.

Example: Write the product $5 \cdot 5 \cdot 5 \cdot 5$ in exponent.

Rule: $a^{x} \to$ a is called base and x is power.

For: $5 \cdot 5 \cdot 5 \cdot 5$ : the base a = 5 and multiplied by 4 times.

In repeated multiplication: $5 \cdot 5 \cdot 5 \cdot 5$ in exponent form $5^{4}$

Step 3: Write the product x · x · x · x using an exponent.

Rule: $a^{x} \to$ a is called base and x is power.

For: $x \cdot x \cdot x \cdot x$ , here base is x and multiplied 4 times.

In exponent form: $x \cdot x \cdot x \cdot x = x^{4}$

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