simplify the expression. assume all variables are positive

Question

(x²y^1/3/x^1/4y)²

Answer 1

(x2y1/3 / x1/4 y)2

rearrange to make it look simple

 

=(x² y^1/3  x ^-1/4  y ^-1  )²

 

=(x^2-1/4 y ^1/3-1) ²

 

= (x ^7/4  y ^-2/3 ) ² 

 

= (x ^7/4*2 y ^-2/3*2) 

 

= (x ^7/2 y ^-4/3)