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.
  • is also written as or and is also called as nth root of am.

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 .
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 is .

Related Terms for Rational Exponents

  • Exponent
  • Number
  • Power
  • Raise
  • Rational