27^2/3

<-- Enter Number or variable Raised to a fractional power such as a^b/c

Term 1
Simplify the rational exponent 272/3

Analyze Fractional Exponent:
The rule of fractional exponents states that ab/c is evaluated as follows:
ab/c = (ca)b
That is equivalent to saying we take the cth root of a, and then raise that value to the power of b
In this case, a = 27, b = 2, and c = 3

Evaluate the 3rd root of 27:
327 = 3 since 33 = 27 as seen in our Exponent Lesson

Raise this value to the power of 2:
Therefore, we can write 272/3 = 9