Question

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

(0.3)³

Short answer

The value ${(0.3)}^3$of after evaluating the power is 0.027

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 34 and evaluate

Example: Find the base and the exponent of $3^4$ and evaluate the value.

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

a = 3 and x = 4

Base = 3 and power = 4

Evaluate: $3^4 =3 · 3 · 3 · 3 = 81$

Write the power in words and as a repeated multiplication, then evaluate (0.3)3

Write the power in words and as a repeated multiplication. Then evaluate the power${(0.3)}^3$

According to the exponent rule:

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

a = 0.3 and x = 3

To express the power in words, write:${(0.3)}^3$ raised to the power 3.

In repeated multiplication:

$(0.3) · (0.3) · (0.3)$

Evaluate:${(0.3)}^3 = (0.3) · (0.3) · (0.3) = 0.027$