Just need someone to check my answer

Simplify (4xy) (2x2y) (3xy) 3.

24x2y3

24x6y5

216x3y3

216x6y5

Simplify (4xy) (2x^2y) (3xy) ^3.

24x^2y^3

24x^6y^5

216x^3y^3

216x^6y^5

The correct answer is 216x ⁶ y ⁵.

Explanation:

The first thing we do is raise the last monomial to the third power.

(4xy) (2x ² y) (3xy) ³

= (4xy) (2x ² y) (3 ³ x ³ y ³)

=4xy (2x ² y) (27x ³ y ³).

Now we can multiply the first two monomials. When we multiply powers with the same base, we add the exponents:

8x ³ y ² (27x ³ y ³).

We multiply these last two monomials, again adding the exponents:

216x ⁶ y ⁵.