Simplify -2(xy^2)(3x^5y^4)

$- 2 (x y^{2}) (3 x^{5} y^{4})$

Multiply $x$ by $x^{5}$ by adding the exponents.

Move $x^{5}$ .

$- 2 (x^{5} x y^{2}) (3 y^{4})$

Multiply $x^{5}$ by $x$ .

Raise $x$ to the power of $1$ .

$- 2 (x^{5} x^{1} y^{2}) (3 y^{4})$

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

$- 2 (x^{5 + 1} y^{2}) (3 y^{4})$

Add $5$ and $1$ .

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

Multiply $y^{2}$ by $y^{4}$ by adding the exponents.

Move $y^{4}$ .

$- 2 (x^{6} (y^{4} y^{2})) \cdot 3$

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

$- 2 (x^{6} y^{4 + 2}) \cdot 3$

Add $4$ and $2$ .

$- 2 (x^{6} y^{6}) \cdot 3$

Multiply $3$ by $- 2$ .

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