Simplify (-2xy)(xy)(3x^2y^3)

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

Step 1

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

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

Multiply $x$ by $x$ .

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

Step 2

Multiply $x^{2}$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

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

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Add $2$ and $2$ .

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

Step 3

Multiply $y$ by $y$ by adding the exponents.

Move $y$ .

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

Multiply $y$ by $y$ .

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

Step 4

Multiply $y^{2}$ by $y^{3}$ by adding the exponents.

Move $y^{3}$ .

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

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$- 2 x^{4} y^{3 + 2} \cdot 3$

Add $3$ and $2$ .

$- 2 x^{4} y^{5} \cdot 3$

Step 5

Multiply $3$ by $- 2$ .

$- 6 x^{4} y^{5}$