Simplify 13(2p^3q)(-pq^5)

$13 (2 p^{3} q) (- p q^{5})$

Step 1

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

Move $p$ .

$13 (2 (p \cdot p^{3}) q) (- 1 q^{5})$

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

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

$13 (2 (p^{1} p^{3}) q) (- 1 q^{5})$

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

$13 (2 p^{1 + 3} q) (- 1 q^{5})$

Add $1$ and $3$ .

$13 (2 p^{4} q) (- 1 q^{5})$

Step 2

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

Move $q^{5}$ .

$13 (2 p^{4} (q^{5} q)) \cdot - 1$

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

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

$13 (2 p^{4} (q^{5} q^{1})) \cdot - 1$

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

$13 (2 p^{4} q^{5 + 1}) \cdot - 1$

Add $5$ and $1$ .

$13 (2 p^{4} q^{6}) \cdot - 1$

Step 3

Multiply $2$ by $13$ .

$26 (p^{4} q^{6}) \cdot - 1$

Step 4

Multiply $- 1$ by $26$ .

$- 26 p^{4} q^{6}$