(972xy2)9x

Factor 324 out of 972.

324(3)xy29x

Rewrite 324 as 182.

182⋅3xy29x

Move x.

182⋅3y2x9x

Move 3.

182y2⋅3x9x

Rewrite 182y2 as (18y)2.

(18y)2⋅3x9x

Add parentheses.

(18y)2⋅(3x)9x

(18y)2⋅(3x)9x

Pull terms out from under the radical.

18y3x9x

Rewrite 9 as 32.

18y3x32x

Pull terms out from under the radical.

18y3x(3x)

Multiply 3 by 18.

54y3xx

Combine using the product rule for radicals.

54yx(3x)

Raise x to the power of 1.

54y3(x1x)

Raise x to the power of 1.

54y3(x1x1)

Use the power rule aman=am+n to combine exponents.

54y3x1+1

Add 1 and 1.

54y3x2

54y3x2

Reorder 3 and x2.

54yx2⋅3

Pull terms out from under the radical.

54yx3

Simplify ( square root of 972xy^2) square root of 9x