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Q3.

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Found in: Page 10

### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

# Write the product using an exponent. x∙x∙x∙x

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

See the step by step solution

## Step 1 – Explanation of the exponent formula

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

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

The expressions ax this 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 $5 · 5 · 5 · 5$in exponent.

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

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

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

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

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

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

In exponent form: $x · x · x · x = {x}^{4}$