what is equivalent to (-2y^2/xy^4)^6

Question

nothing else

Answer 1

Let's simplify the 'interior' part of your problem, first.

 

(-2y^2/xy^4) = -2y²/[xy⁴] = -2y^-2/x= -2 / [xy²].

 

Now, we'll simply raise this quantity to the 6th power, giving 64 / [x⁶y¹²]