Question

Evaluate the expression when m = 3.

m⁵

Short answer

The value of $m^5$after evaluating the power is 243 when m = 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 5 · 5 · 5 · 5in 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 $5^4$

Evaluate the expression m5 when m = 3

Evaluate the expression $m^5$ whenm = 3.

According to the exponent rule:

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

a = m and x = 5

In repeated multiplication:$m^5=m · m · m · m · m$

When m = 3:$m^5=m · m · m · m · m = 3 · 3 · 3 · 3 · 3 = 243$

The value of $m^5$after evaluating the power is 243.