Question

In $2^n$, $n$ is known as:

• A. Base
• B. Constant
• C. Exponent
• D. Variable

Answer 1

The correct option is C

Exponent

Step 1: Explanation for Correct Option:

Option (C):

For a number given as $a^b$, $a$ is termed as the base and $b$ is termed as the exponent.

The value of $a^b$ is the number of exponent times the base multiplied by itself.

Hence, for $2^n$, $n$ is its exponent, and therefore option (C) is the correct answer.

Step 2: Explanation for Incorrect Option:

Option (A):

For a number given as $a^b$, $a$ is termed as the base and $b$ is termed as the exponent.

The value of $a^b$ is the number of exponent times the base multiplied by itself.

Hence, for $2^n$, $2$ is its base.

Option (B):

For a number $2n$, $2$ is the constant since this value does not change and remains constant.

Option (D):

For a number $2n$, $n$ is the variable since this value changes.

Hence, option $C$ is the correct answer.