Simplify -2gh(g^3h^5)

$- 2 g h (g^{3} h^{5})$

Step 1

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

Move $g^{3}$ .

$- 2 (g^{3} g) h \cdot h^{5}$

Multiply $g^{3}$ by $g$ .

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

$- 2 (g^{3} g^{1}) h \cdot h^{5}$

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

$- 2 g^{3 + 1} h \cdot h^{5}$

Add $3$ and $1$ .

$- 2 g^{4} h \cdot h^{5}$

Step 2

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

Move $h^{5}$ .

$- 2 g^{4} (h^{5} h)$

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

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

$- 2 g^{4} (h^{5} h^{1})$

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

$- 2 g^{4} h^{5 + 1}$

Add $5$ and $1$ .

$- 2 g^{4} h^{6}$