Simplify -8xy^5(x^4y)

$- 8 x y^{5} (x^{4} y)$

Step 1

Multiply $x$ by $x^{4}$ by adding the exponents.

Move $x^{4}$ .

$- 8 (x^{4} x) y^{5} y$

Multiply $x^{4}$ by $x$ .

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

$- 8 (x^{4} x^{1}) y^{5} y$

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

$- 8 x^{4 + 1} y^{5} y$

Add $4$ and $1$ .

$- 8 x^{5} y^{5} y$

Step 2

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

Move $y$ .

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

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

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

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

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

$- 8 x^{5} y^{1 + 5}$

Add $1$ and $5$ .

$- 8 x^{5} y^{6}$