243^1/5

Publish date: 2024-06-29
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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:

5243 = 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

Final Answer

2431/5 = 3

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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.

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