What is (-2x^2yz^3)^3(-2x^3y)^2 ?

The solution to (-2x^2yz^3)^3(-2x^3y)^2 is -32x^{12}y^5z^9

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simplify (-2x^2yz^3)^3(-2x^3y)^2

simplify

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

- 32 x^{12} y^{5} z^{9}

Solution steps

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

Simplify

(- 2 x^{2} y z^{3})^{3} : - 8 x^{6} y^{3} z^{9}

= - 8 x^{6} y^{3} z^{9} (- 2 x^{3} y)^{2}

Simplify

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

= - 8 x^{6} y^{3} z^{9} \cdot 4 x^{6} y^{2}

Multiply the numbers:

- 8 \cdot 4 = - 32

= - 32 x^{6} y^{3} z^{9} x^{6} y^{2}

Simplify

x^{6} x^{6} : x^{12}

= - 32 x^{12} y^{3} z^{9} y^{2}

Simplify

y^{3} y^{2} : y^{5}

= - 32 x^{12} y^{5} z^{9}

\frac{sin ( x )}{1 + cos ( x )} + \frac{sin ( x )}{1 - cos ( x )}

(10 - 4 i) - (7 + 3 i)

(2 x + 4) (x - 3)

9^{- 0.5}

- a^{2}

What is (-2x^2yz^3)^3(-2x^3y)^2 ?
The solution to (-2x^2yz^3)^3(-2x^3y)^2 is -32x^{12}y^5z^9