Algebra Examples

$(\frac{3}{p^{2} q}) (- \frac{6}{p^{5} q^{3}})$

Step 1

Rewrite using the commutative property of multiplication.

$- \frac{3}{p^{2} q} \cdot \frac{6}{p^{5} q^{3}}$

Step 2

Multiply $- \frac{3}{p^{2} q} \cdot \frac{6}{p^{5} q^{3}}$ .

Tap for more steps...

Step 2.1

Multiply $\frac{6}{p^{5} q^{3}}$ by $\frac{3}{p^{2} q}$ .

$- \frac{6 \cdot 3}{p^{5} q^{3} (p^{2} q)}$

Step 2.2

Multiply $6$ by $3$ .

$- \frac{18}{p^{5} q^{3} (p^{2} q)}$

Step 2.3

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

$- \frac{18}{p^{2 + 5} q^{3} q}$

Step 2.4

Add $2$ and $5$ .

$- \frac{18}{p^{7} q^{3} q}$

Step 2.5

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

$- \frac{18}{p^{7} (q^{1} q^{3})}$

Step 2.6

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

$- \frac{18}{p^{7} q^{1 + 3}}$

Step 2.7

Add $1$ and $3$ .

$- \frac{18}{p^{7} q^{4}}$