Question

Write the product using an exponent.

2 x 2 x 2 x 2

Short answer

The product $2·2·2·2$using an exponent is $2^4$

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 3 · 3 · 3 · 3 in exponent. 

Example: Write the product $3 · 3 · 3 · 3$in exponent.

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

For $3 · 3 · 3 · 3$, the base a = 3 and multiplied by 4 times.

In repeated multiplication: $3 · 3 · 3 · 3$in exponent form $3^4$

Write the product 2·2·2·2 using an exponent.

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

For:$2·2·2·2$, here base is 2 and multiplied 4 times.

In exponent form: $2·2·2·2 = 2^4$