Simplify -3xy^5(8y)

$- 3 x y^{5} (8 y)$

Step 1

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

Move $y$ .

$- 3 x (y \cdot y^{5}) \cdot 8$

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

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

$- 3 x (y^{1} y^{5}) \cdot 8$

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

$- 3 x y^{1 + 5} \cdot 8$

Add $1$ and $5$ .

$- 3 x y^{6} \cdot 8$

Step 2

Multiply $8$ by $- 3$ .

$- 24 x y^{6}$