Chapter 9, Problem 3SGR

To determine

To calculate:To determine if the below statement is true or false. If false, replace the underlined word or number to make a true statement -

In $5^7$ , the number $7$ is the base.

Answer to Problem 3SGR

The statement “In $5^7$ , the number $7$ is the base.” is False.

The correct statement is - In $5^7$ , the number $7$ is the exponent.

Explanation of Solution

Given information:

Given statement is - In $5^7$ , the number $7$ is the base.

Formula Used:

Definition of exponential form - An expression that represents repeated multiplication of the same factor is called a power. Eg: In, $5^2$ , the number $5$ is called the base, and the number $2$ is called the exponent.

Calculation:

Given statement is - In $5^7$ , the number $7$ is the base.

From the abovedefinition of exponential form , the statement “In $5^7$ , the number $7$ is the base.” is False.

The correct statement is - In $5^7$ , the number $7$ is the exponent.

Conclusion:

The statement “In $5^7$ , the number $7$ is the base.” is False.

The correct statement is - In $5^7$ , the number $7$ is the exponent.