** 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.
- is also written as or and is also called as
*n*^{th}root of*a*.^{m}

**Examples of Rational Exponents**

- In the expression , is the rational exponent.
- can also be written as and is the rational exponent.

**Solved Example on Rational Exponents**

Identify the rational exponential expression of .

Choices:

A. 2^{2}

B. 2^{4}

C. 4^{3}

D.

Correct Answer: D

Solution:

Step 1:= [Convert radical expression to rational exponent expression.]

Step 2:The rational exponential notation for the expression is .

**Related Terms for Rational Exponents**

- Exponent
- Number
- Power
- Raise
- Rational