Find dy/dx

Question

Find dy/dx in terms of x and y if ⁵√x = 4√y

dy/dx=

Answer 1

5√x = 4√y
I see probably two answers, one is if 4 and 5 are coefficients:

 √y =(5/4)√x.

squaring the two sides we obtain:

y = (25/16) x

dy/dx = (25/16)

The other occurs if the equation is:

X^(1/5) = Y^(1/4) 

elevating both sides to the 4 power we get:

X^{(4/5) =} Y

dy/dx = (4/5) Y^(-1/5)

I think I solved the two possibilities of this problem