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 $n^2$whenn = 7 and n = 0.4.

According to the exponent rule:

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

a = n and x = 2

In repeated multiplication:$n^2=  n  ·  n  $

When n = 7:$n^2=  n  ·  n  =  7  ·  7  =49$

When n = 0.4:$n^2=  n  ·  n  =  (0.4)  ·  (0.4)  =0.16$

The value of $n^2$after evaluating the power is 49 when n= 7 and 0.16 when n = 0.4