Algebra Examples

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

Step 1

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

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Step 1.1

Move $c$ .

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

Step 1.2

Multiply $c$ by $c$ .

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

Step 2

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

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Step 2.1

Move $d^{5}$ .

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

Step 2.2

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

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Step 2.2.1

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

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

Step 2.2.2

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

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

Step 2.3

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 $44$ .

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