Power of a Quotient

(a/b)^m = a^m/b^m
(a ≠ 0)
Just like (ab)^m formula, power the numbers in the parentheses: a^m, b^m.

Cube x and y².
So (x/y²)³ = x³/(y²)³.

(y²)³ = y^2⋅3 = y⁶

Power of a Power

So x³/y⁶ is the answer.

Both (a/b)^m formula and (ab)^m formula powers the numbers in the parentheses.
So you can directly use these two formulas together.

First square 3, x⁴, and y.
Then write 3² (x⁴)² over y².

Next, cube y, 2, and x.
Then write y³ over 2³ x³.

So the given expresssion is
[(3² (x⁴)²)/y²] [y³/(2³ x³)].

3² = 9
(x⁴)² = x^4⋅2 = x⁸

Power of a Power

2³ = 8

x⁸/x³ = x^{8 - 3} = x⁵
y³/y² = y^{3 - 2} = y

Quotient of Powers

3³ = 27

So 9x⁵y/8 is the answer.