Simplify (wc^7)(-8w^3c^5)

$(w c^{7}) (- 8 w^{3} c^{5})$

Step 1

Rewrite using the commutative property of multiplication.

$- 8 w c^{7} (w^{3} c^{5})$

Step 2

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

Move $w^{3}$ .

$- 8 (w^{3} w) c^{7} c^{5}$

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

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

$- 8 (w^{3} w^{1}) c^{7} c^{5}$

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

$- 8 w^{3 + 1} c^{7} c^{5}$

Add $3$ and $1$ .

$- 8 w^{4} c^{7} c^{5}$

Step 3

Multiply $c^{7}$ by $c^{5}$ by adding the exponents.

Move $c^{5}$ .

$- 8 w^{4} (c^{5} c^{7})$

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

$- 8 w^{4} c^{5 + 7}$

Add $5$ and $7$ .

$- 8 w^{4} c^{12}$