27^2/3

Simplify Term 1

27^2/3

Simplify the rational exponent:

272/3

Analyze Fractional Exponent:

ab/c = (c√a)b

Take the cth root of a
Then raise that to the power of b

In this case, a = 27, b = 2, and c = 3

Evaluate the 3rd root of 27:

3√27 = 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

272/3 = 9

What is the Answer?

How does the Rational Exponents - Fractional Indices Calculator work?

Free Rational Exponents - Fractional Indices Calculator - This calculator evaluates and simplifies a rational exponent expression in the form ab/c where a is any integer or any variable [a-z] while b and c are integers. Also evaluates the product of rational exponents
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What 1 formula is used for the Rational Exponents - Fractional Indices Calculator?

What 4 concepts are covered in the Rational Exponents - Fractional Indices Calculator?

exponentThe power to raise a numberrationalrational exponents - fractional indicessimplifyreducing the expression/fraction/problem in a simpler form.

Example calculations for the Rational Exponents - Fractional Indices Calculator

Rational Exponents - Fractional Indices Calculator Video

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