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 

Related Worksheet

• Multiplying-One-Digit-Numbers-with-Multiples-of-10-Gr-3
• Representing-Squares-and-Square-Roots-Gr-8
• Estimating-Metric-Units-Gr-3
• Finding-Areas-of-Rectilinear-Figures-Gr-3
• Adding-Whole-Numbers-through-999-with-Regrouping-Gr-3