Basic Math Examples

$(\frac{p^{6} q^{2}}{7 r^{3}}) (\frac{- 3 p^{2}}{r})$

Step 1

Combine.

$\frac{p^{6} q^{2} (- 3 p^{2})}{7 r^{3} r}$

Step 2

Multiply $p^{6}$ by $p^{2}$ by adding the exponents.

Tap for more steps...

Step 2.1

Move $p^{2}$ .

$\frac{p^{2} p^{6} q^{2} \cdot - 3}{7 r^{3} r}$

Step 2.2

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

$\frac{p^{2 + 6} q^{2} \cdot - 3}{7 r^{3} r}$

Step 2.3

Add $2$ and $6$ .

$\frac{p^{8} q^{2} \cdot - 3}{7 r^{3} r}$

Step 3

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

Tap for more steps...

Step 3.1

Move $r$ .

$\frac{p^{8} q^{2} \cdot - 3}{7 (r \cdot r^{3})}$

Step 3.2

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

Tap for more steps...

Step 3.2.1

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

$\frac{p^{8} q^{2} \cdot - 3}{7 (r^{1} r^{3})}$

Step 3.2.2

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

$\frac{p^{8} q^{2} \cdot - 3}{7 r^{1 + 3}}$

Step 3.3

Add $1$ and $3$ .

$\frac{p^{8} q^{2} \cdot - 3}{7 r^{4}}$

Step 4

Move $- 3$ to the left of $p^{8} q^{2}$ .

$\frac{- 3 \cdot (p^{8} q^{2})}{7 r^{4}}$

Step 5

Move the negative in front of the fraction.

$- \frac{3 p^{8} q^{2}}{7 r^{4}}$