Simplify 8y^3(-3y^2)

$8 y^{3} (- 3 y^{2})$

Step 1

Rewrite using the commutative property of multiplication.

$8 \cdot - 3 y^{3} y^{2}$

Step 2

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

Move $y^{2}$ .

$8 \cdot - 3 (y^{2} y^{3})$

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

$8 \cdot - 3 y^{2 + 3}$

Add $2$ and $3$ .

$8 \cdot - 3 y^{5}$

Step 3

Multiply $8$ by $- 3$ .

$- 24 y^{5}$