# Rational Exponents

## Definition of Rational Exponents

If the power or the exponent raised on a number is in the form where q ≠ 0, then the number is said to have rational exponent. For example:

### More About Rational Exponents

All the radical numbers have rational exponent.

and is also called as
n^{th} root of a^{m}

### Examples of Rational Exponents

In the expressionis the rational exponent.

can also be written as
and
is the rational exponent.

### Video Examples: Rational Exponents

### Solved Example on Rational Exponents

**Ques:** Identify the rational exponential expression of

##### Choices:

- A. 22
- B. 24
- C. 43
- D.

Correct Answer: D

#### Solution:

- Step 1: [Convert radical expression to rational exponent expression.]
- Step 2: The rational exponential notation for the expression