Simplify -3x^3y^2(12y^4)

$- 3 x^{3} y^{2} (12 y^{4})$

Step 1

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

Move $y^{4}$ .

$- 3 x^{3} (y^{4} y^{2}) \cdot 12$

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

$- 3 x^{3} y^{4 + 2} \cdot 12$

Add $4$ and $2$ .

$- 3 x^{3} y^{6} \cdot 12$

Step 2

Multiply $12$ by $- 3$ .

$- 36 x^{3} y^{6}$