Question

Evaluate the power.

${(0.8)}^4$

Short answer

The value of ${(0.8)}^4$after evaluating the power is 0.4096.

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 and evaluate the value.

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

a = 2 and x = 7

Base = 2 and exponent = 7

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

Evaluate the expression (0.8)4 

Evaluate the expression ${(0.8)}^4$

According to the exponent rule:

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

a = 0.8 and x = 4

In repeated multiplication:$0.8{ }^4 = 0.8 · 0.8 · 0.8 · 0.8$

Evaluate the expression $0.8{ }^4 = 0.8 · 0.8 · 0.8 · 0.8 = 0.4096$

The value of ${(0.8)}^4$after evaluating the power is 0.4096