-243^1/5

May 2024 · 1 minute read
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Simplify Term 1

-243^1/5

Simplify the rational exponent:

-2431/5

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 = -243, b = 1, and c = 5

Evaluate the 5th root of -243:

5-243 = -3 since -35 = -243  
as seen in our Exponent Lesson

Raise this value to the power of 1:

Therefore, we can write -2431/5 = -3

-2431/5 = -3


What is the Answer?

-2431/5 = -3

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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