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Error Analysis: Describe and correct the error in writing 23 as a repeated multiplication.

Short Answer

Expert verified

In repeated multiplication: 23  =2 · 2 · 2 0

Step by step solution

01

– Explanation of the exponent formula

ax→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 34 and evaluate

Example: Find the base and the exponent of 34 and write in repeated multiplication.

Rule: ax→a is called base and x is power.

a = 3 and x = 4

Base = 3 and power = 4

In repeated multiplication: 34  =3 · 3 · 3 · 3 

03

Describe and correct the error in writing 23 as a repeated multiplication. 

Rule: ax→a is called base and x is power.

For 23: a = 2 and x = 3

In the question it is given:23  =3 ·3. it is wrong, because in repeated multiplication base should be multiplied three times as the power is 3.

In repeated multiplication: 23  =2 · 2 · 2 

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