91Ó°ÊÓ

${\text{a}}^{\text{x}}→$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

Example: Find the base and the power of 2⁷

Rule: ${\text{a}}^{\text{x}}→$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 the power ${(0.2)}^2$

According to the exponent rule:

${\text{a}}^{\text{x}}→$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: ${(0.2)}^2=0.2  ·  0.2  =  0.04$