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

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

Step 1

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

Move $y$ .

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

Multiply $y$ by $y^{2}$ .

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

$3 (y^{1} y^{2}) \cdot - 2 (4 y^{3})$

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

$3 y^{1 + 2} \cdot - 2 (4 y^{3})$

Add $1$ and $2$ .

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

Step 2

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

Move $y^{3}$ .

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

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

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

Add $3$ and $3$ .

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

Step 3

Multiply $- 2$ by $3$ .

$- 6 y^{6} \cdot 4$

Step 4

Multiply $4$ by $- 6$ .

$- 24 y^{6}$