Simplify -10p^2q^8r^5*4qp^0r^3

$- 10 p^{2} q^{8} r^{5} \cdot 4 q p^{0} r^{3}$

Multiply $p^{2}$ by $p^{0}$ by adding the exponents.

Move $p^{0}$ .

$- 10 (p^{0} p^{2}) q^{8} r^{5} \cdot (4 q r^{3})$

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

$- 10 p^{0 + 2} q^{8} r^{5} \cdot (4 q r^{3})$

Add $0$ and $2$ .

$- 10 p^{2} q^{8} r^{5} \cdot (4 q r^{3})$

Multiply $q^{8}$ by $q$ by adding the exponents.

Move $q$ .

$- 10 p^{2} (q \cdot q^{8}) r^{5} \cdot (4 r^{3})$

Multiply $q$ by $q^{8}$ .

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

$- 10 p^{2} (q^{1} q^{8}) r^{5} \cdot (4 r^{3})$

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

$- 10 p^{2} q^{1 + 8} r^{5} \cdot (4 r^{3})$

Add $1$ and $8$ .

$- 10 p^{2} q^{9} r^{5} \cdot (4 r^{3})$

Multiply $r^{5}$ by $r^{3}$ by adding the exponents.

Move $r^{3}$ .

$- 10 p^{2} q^{9} (r^{3} r^{5}) \cdot 4$

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

$- 10 p^{2} q^{9} r^{3 + 5} \cdot 4$

Add $3$ and $5$ .

$- 10 p^{2} q^{9} r^{8} \cdot 4$

Multiply $4$ by $- 10$ .

$- 40 p^{2} q^{9} r^{8}$