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

-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
This calculator has 1 input.

What 1 formula is used for the Rational Exponents - Fractional Indices Calculator?

ab/c = (ca)b

For more math formulas, check out our Formula Dossier

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

exponent
The power to raise a number
rational
rational exponents - fractional indices
simplify
reducing the expression/fraction/problem in a simpler form.