Question

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

(0.2)²

Short answer

The value ${(0.2)}^2$of after evaluating the power is 0.04

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 power of 27 and evaluate

Example: Find the base and the power 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

To express the power in words, write:2raised to the 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 then evaluate (0.2)2

Write the power in words and as a repeated multiplication. Then evaluate the power ${(0.2)}^2$

According to the exponent rule:

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

a = 0.2 and x = 2

To express the power in words, write: (0.2) raised to the power 2.

In repeated multiplication:${(0.2)}^2=0.2 · 0.2$

Evaluate: ${(0.2)}^2=0.2 · 0.2 = 0.04$