Question

Write the product using an exponent.

(5.6)(5.6)(5.6)

Short answer

The product $\left(5.6\right)\left(5.6\right)\left(5.6\right)$using an exponent is ${(5.6)}^3$

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 5.65.65.6 using an exponent.

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

For:$\left(5.6\right)\left(5.6\right)\left(5.6\right)$, here base is 5.6 and multiplied 3 times.

In exponent form: $\left(5.6\right)\left(5.6\right)\left(5.6\right) = {(5.6)}^3$