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Chapter 1: Q16. (page 52)

Evaluate the power.

3鈥�2

Short Answer

Expert verified

The value of (3)2鈥�after evaluating the power is 9.

Step by step solution

01

– Explanation of the exponent formula

ax鈫�a is the base and x is exponent.

The power is the result of repeated multiplication of the same factor.

The expressionsaxthis means that a has been used as a factor x times

02

Find the base and exponent of 27 and evaluate

Example: Find the base and the exponent of 27 and evaluate the value.

Rule: ax鈫�a is called base and x is exponent.

a = 2 and x = 7

Base = 2 and exponent = 7

Evaluate: 27=2鈥�路鈥�2鈥�路鈥�2鈥�鈥�路鈥�2鈥�路鈥�2鈥�路鈥�2鈥�路鈥�2鈥�=128

03

Evaluate the expression (0.3)3 

Evaluate the expression (3)2鈥�

According to the exponent rule:

ax鈫�a is called base and x is power.

a = 3 and x = 2

In repeated multiplication:(3)2鈥�鈥�=鈥�鈥�3鈥�鈥�路鈥�鈥�3

Evaluate the expression (3)2鈥�鈥�=鈥�鈥�3鈥�鈥�路鈥�鈥�3鈥�鈥�=鈥�鈥�9

The value of (3)2鈥�after evaluating the power is 9.

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