Simplify (-2c^4d)(-4cd)

$(- 2 c^{4} d) (- 4 c d)$

Step 1

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

Move $c$ .

$- 2 (c \cdot c^{4}) d (- 4 d)$

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

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

$- 2 (c^{1} c^{4}) d (- 4 d)$

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

$- 2 c^{1 + 4} d (- 4 d)$

Add $1$ and $4$ .

$- 2 c^{5} d (- 4 d)$

Step 2

Multiply $d$ by $d$ by adding the exponents.

Move $d$ .

$- 2 c^{5} (d \cdot d) \cdot - 4$

Multiply $d$ by $d$ .

$- 2 c^{5} d^{2} \cdot - 4$

Step 3

Multiply $- 4$ by $- 2$ .

$8 c^{5} d^{2}$