What is (3xy)^2*(-4x^3y^2)^3 ?

The solution to (3xy)^2*(-4x^3y^2)^3 is -576x^{11}y^8

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simplify (3xy)^2*(-4x^3y^2)^3

simplify

(3 x y)^{2} \cdot (- 4 x^{3} y^{2})^{3}

- 576 x^{11} y^{8}

Solution steps

(3 x y)^{2} (- 4 x^{3} y^{2})^{3}

Simplify

(3 x y)^{2} : 9 x^{2} y^{2}

= 9 x^{2} y^{2} (- 4 x^{3} y^{2})^{3}

Simplify

(- 4 x^{3} y^{2})^{3} : - 64 x^{9} y^{6}

= 9 x^{2} y^{2} (- 64 x^{9} y^{6})

Apply rule:

a (- b) = - ab

9 x^{2} y^{2} (- 64 x^{9} y^{6}) = - 9 x^{2} y^{2} \cdot 64 x^{9} y^{6}

= - 9 x^{2} y^{2} \cdot 64 x^{9} y^{6}

Multiply the numbers:

- 9 \cdot 64 = - 576

= - 576 x^{2} y^{2} x^{9} y^{6}

Simplify

x^{2} x^{9} : x^{11}

= - 576 x^{11} y^{2} y^{6}

Simplify

y^{2} y^{6} : y^{8}

= - 576 x^{11} y^{8}

\frac{x - 3}{33} < \frac{x - 2}{12}

(x + 3) (x - 5) < 0

- 8 D + 5 + 5 D = 1 - 3 D - 5

- 10 n < 1 0^{2}

2 y^{2} = 0

What is (3xy)^2*(-4x^3y^2)^3 ?
The solution to (3xy)^2*(-4x^3y^2)^3 is -576x^{11}y^8