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 exponent of 2⁷ and evaluate the value.

Rule: ${\text{a}}^{\text{x}}→$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 ${(12.5)}^2$

According to the exponent rule:

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

a = 12.5 and x = 2

In repeated multiplication:${(12.5)}^2  =  12.5  ·  12.5$

Evaluate the expression ${(12.5)}^2  =  12.5  ·  12.5  =  156.25$

The value of ${(12.5)}^2$after evaluating the power is 156.25.