Question

Evaluate the power.

${(1.2)}^3$

Short answer

The value of ${1.2}^3$after evaluating the power is 1.728.

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 (1.2)2 

Evaluate the expression ${1.2}^3$

According to the exponent rule:

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

a = 1.2 and x = 3

In repeated multiplication:${1.2}^3 = 1.2 · 1.2 · 1.2$

Evaluate the expression ${1.2}^3 = 1.2 · 1.2 · 1.2 = 1.728$

The value of ${1.2}^3$after evaluating the power is 1.728.