How do you simplify #1/x^(-5/4)#?

1 Answer
Aug 20, 2017

Simplified form: #root(4)(x^5)#

Explanation:

When you have a number raised to a negative exponent, you can change it into its reciprocal and change the sign on the exponent.

#1/(x^(-5/4))= x^(5/4)#

Sometimes you could leave it in that form, but generally it would then be turned into root form.

#x^(5/4)=root(4)(x^5)#