Question

Write the power in words and as a repeated multiplication. Then evaluate the power:

12²

Short answer

The power is two and in repeated multiplication: $12 · 12$and ${12}^2$= 144

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

Find the base and exponent of 27 and evaluate

Example: Find the base and the exponent of 2⁷

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

a = 2 and x = 7

Base = 2 and power = 7

In repeated multiplication: $2 · 2 · 2 · 2 · 2 · 2 · 2$

Evaluate: $2^7=2 · 2 · 2 · 2 · 2 · 2 · 2 =128$

Write the power in words and as a repeated multiplication and evaluate the power 122

Write the power in words and as a repeated multiplication. Then evaluate the power${12}^2$.

According to the exponent rule:

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

a = 12 and x = 2

Base = 12 and power = Two

In repeated multiplication:

$12 · 12$

Evaluate: ${12}^2$= $12 · 12$= 144