27^2/3

Publish date: 2024-05-05
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Simplify Term 1

27^2/3

Simplify the rational exponent:

272/3

Analyze Fractional Exponent:

ab/c = (ca)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:

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

272/3 = 9


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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

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