Simplify (-8f^6g)(-7f^2g^5h)

$(- 8 f^{6} g) (- 7 f^{2} g^{5} h)$

Step 1

Multiply $f^{6}$ by $f^{2}$ by adding the exponents.

Move $f^{2}$ .

$- 8 (f^{2} f^{6}) g (- 7 g^{5} h)$

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

$- 8 f^{2 + 6} g (- 7 g^{5} h)$

Add $2$ and $6$ .

$- 8 f^{8} g (- 7 g^{5} h)$

Step 2

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

Move $g^{5}$ .

$- 8 f^{8} (g^{5} g) (- 7 h)$

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

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

$- 8 f^{8} (g^{5} g^{1}) (- 7 h)$

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

$- 8 f^{8} g^{5 + 1} (- 7 h)$

Add $5$ and $1$ .

$- 8 f^{8} g^{6} (- 7 h)$

Step 3

Multiply $- 7$ by $- 8$ .

$56 f^{8} g^{6} h$