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 ${10}^6$

According to the exponent rule:

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

a = 10 and x = 6

To express the power in words, write: 10 raised to the power 6.

In repeated multiplication:${10}^6  =  10  ·  10  ·  10  ·  10 ·  10  ·  10 $

Evaluate: ${10}^6  =  10  ·  10  ·  10  ·  10 ·  10  ·  10  =  1000000$