Simplify 11(4cd)(-cd^5)

$11 (4 c d) (- c d^{5})$

Step 1

Multiply $c$ by $c$ by adding the exponents.

Move $c$ .

$11 (4 (c \cdot c) d) (- 1 d^{5})$

Multiply $c$ by $c$ .

$11 (4 c^{2} d) (- 1 d^{5})$

Step 2

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

Move $d^{5}$ .

$11 (4 c^{2} (d^{5} d)) \cdot - 1$

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

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

$11 (4 c^{2} (d^{5} d^{1})) \cdot - 1$

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

$11 (4 c^{2} d^{5 + 1}) \cdot - 1$

Add $5$ and $1$ .

$11 (4 c^{2} d^{6}) \cdot - 1$

Step 3

Multiply $4$ by $11$ .

$44 (c^{2} d^{6}) \cdot - 1$

Step 4

Multiply $- 1$ by $44$ .

$- 44 c^{2} d^{6}$