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Explain how these vocabulary terms are related: power, base, exponent.

Short Answer

Expert verified

The exponent or power represents the number of times the base is used as a factor.

Step by step solution

01

- Apply the exponent formula

ax→a is called base and x is exponent

Example: Find the base and the exponent of 187

Rule: ax→a is called base and x is exponent

a = 18 and x = 7

Base = 18 and exponent = 7

02

Example

Find the base and the exponent in the expression 135

According to the exponent rule:

ax→a is called base and x is exponent

a = 13 and x = 5

Base = 13 and exponent = 5

03

Explain the terms power, base, exponent.

5  ·  5  ·  5  ·  5  ·  5  ·  5  ·  5  ·  5=57

The above expression which shows repeated multiplication of the same factor is called a power.

Here, the number 5is called the base whereas the number 7 is called the exponent or power.

The exponent or power represents the number of times the base is used as a factor.

In this example,5  ·  5  ·  5  ·  5  ·  5  ·  5  ·  5  ·  5=57, the base 5is used as a factor for 7 times.

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