Simplify the expression x^1/4 / x^−4/5x Assume x>0

Question

Simplify the expression x^1/4 / x^−4/5x Assume x>0

 The answer can be written in the form 1x^b where 

the exponent b is: 

Answer 1

x^1/4 / x^−4/5x=

(4√x)/(1/(4√(5x)))=Switch the numerator; multiply.

((4th root) of x)((4th root) of (5x))=

if x=3; 1.316*1.968=2.59

Answer 2

b = -19/4x

x^1/4/x^-4/5x = x^-5/4/5x = (1/5)x^(-15/4 -1) = .2x^-19/4