Simplify the expression (3x^4/2y^3) ^2

Simplify the following:

((3 x^4 y^3) / 2) ^2

Multiply each exponent in (3 x^4 y^3) / 2 by 2:

(3^2 x^ (2*4) y^ (2*3)) / (2^2)

2*4 = 8:

(3^2 x^8 y^ (2*3)) / 2^2

2*3 = 6:

(3^2 x^8 y^6) / 2^2

2^2 = 4:

(3^2 x^8 y^6) / 4

3^2 = 9:

Answer: (9 x^8 y^6) / 4