how do you simplify 4th root of 2592x^7y^5?

Question

for my math homework, please be quick and add steps

Answer 1

2592=2×1296=2×36²=2×6⁴, so ⁴√2×6⁴=6(⁴√2).

x⁷=x⁸/x, so (⁴√x⁸/x)=x²(⁴√(1/x)).

And y⁵=y(y⁴) so the fourth root is y(⁴√y).

Now we combine these: 6x²y(⁴√(2y/x)).