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 nth root of am
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
- A. 22
- B. 24
- C. 43
Correct Answer: D
- Step 1: [Convert radical expression to rational exponent expression.]
- Step 2: The rational exponential notation for the expression