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

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

Step 1

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

Move $y^{2}$ .

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

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

$4 y^{2 + 3} \cdot - 5 (3 y)$

Add $2$ and $3$ .

$4 y^{5} \cdot - 5 (3 y)$

Step 2

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

Move $y$ .

$4 (y \cdot y^{5}) \cdot - 5 \cdot 3$

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

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

$4 (y^{1} y^{5}) \cdot - 5 \cdot 3$

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

$4 y^{1 + 5} \cdot - 5 \cdot 3$

Add $1$ and $5$ .

$4 y^{6} \cdot - 5 \cdot 3$

Step 3

Multiply $- 5$ by $4$ .

$- 20 y^{6} \cdot 3$

Step 4

Multiply $3$ by $- 20$ .

$- 60 y^{6}$