Question

Write the product using an exponent.

x∙x∙x∙x

Short answer

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

Step-by-step solution

– 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 expressionsa^xthis means that a has been used as a factor x times.

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 $5^4$

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: $x · x · x · x = x^4$