Rational Exponents to Radicals

By Kiara Brown

Formula

x^a/b = root of b and inside the radical is x^a

Step by Step

Step 1 : Identify the denominator which is going to be the root of the radical

Step 2 : identify the numerator which is going to the exponent of the base

Step 3 : simplify accordingly

Example problem :

8^2/3 = cube root of 8^2 = cube root of 64

Converting between radicals and rational exponnents

Same process as before just backwards!


square root of 5 = 5^1/2

Be Careful of Negative Exponents

When dealing with negative exponents, you simply make a fraction with the base and the exponent in the denominator and any positive numbers in the numerator.

Rewrite Exponents in Radical Form