Fractional Exponents

This week I learnt how to fractional exponents into radicals in order to evaluate it. Here are the steps I used.

First you take your base and place it inside the radicant. Then the bottom half of the fractional exponent (denominator) becomes the index and the top half (numerator) becomes the exponent on the inside of the radicant. You would then find the prime factorization of the base to find the root. You leave the exponent on the inside alone. After that you take the root of the base you now attach the exponent from the inside and place it on the root you found. The last step is to evaluate all that.

And if you were to convert a radical into a single power you would take the radicant which would turn into your base, the index would then become your denominator and the exponent inside would become your numerator.