Algebra Examples

$(c d) \frac{1}{2} (d \frac{1}{3})$

Step 1

Combine $c$ and $\frac{1}{2}$ .

$d \frac{c}{2} (d \frac{1}{3})$

Step 2

Combine $d$ and $\frac{c}{2}$ .

$\frac{d c}{2} (d \frac{1}{3})$

Step 3

Combine $d$ and $\frac{1}{3}$ .

$\frac{d c}{2} \cdot \frac{d}{3}$

Step 4

Multiply $\frac{d c}{2}$ by $\frac{d}{3}$ .

$\frac{d c d}{2 \cdot 3}$

Step 5

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

$\frac{c (d^{1} d)}{2 \cdot 3}$

Step 6

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

$\frac{c (d^{1} d^{1})}{2 \cdot 3}$

Step 7

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

$\frac{c d^{1 + 1}}{2 \cdot 3}$

Step 8

Add $1$ and $1$ .

$\frac{c d^{2}}{2 \cdot 3}$

Step 9

Multiply $2$ by $3$ .

$\frac{c d^{2}}{6}$