Question

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

(1.2)³

Short answer

The value ${\left(1.2\right)}^3$of 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

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, then evaluate (1.2)3

Write the power in words and as a repeated multiplication. Then evaluate the power${\left(1.2\right)}^3$

According to the exponent rule:

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

a = 1.2 and x = 3

To express the power in words, write:${\left(1.2\right)}^3$raised to the power 3.

In repeated multiplication: $(1.2) · (1.2) · (1.2)$

Evaluate: ${(1.2)}^3 = (1.2) · (1.2) · (1.2) = 1.728$