Simplify (10g^3h^8v^6)(11gh^8)

$(10 g^{3} h^{8} v^{6}) (11 g h^{8})$

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

Move $g$ .

$10 (g \cdot g^{3}) h^{8} v^{6} (11 h^{8})$

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

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

$10 (g^{1} g^{3}) h^{8} v^{6} (11 h^{8})$

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

$10 g^{1 + 3} h^{8} v^{6} (11 h^{8})$

Add $1$ and $3$ .

$10 g^{4} h^{8} v^{6} (11 h^{8})$

Multiply $h^{8}$ by $h^{8}$ by adding the exponents.

Move $h^{8}$ .

$10 g^{4} (h^{8} h^{8}) v^{6} \cdot 11$

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

$10 g^{4} h^{8 + 8} v^{6} \cdot 11$

Add $8$ and $8$ .

$10 g^{4} h^{16} v^{6} \cdot 11$

Multiply $11$ by $10$ .

$110 g^{4} h^{16} v^{6}$