Solve (-9p^2q^5)(4pq^2)

$$( - 9 p ^ { 2 } q ^ { 5 } ) ( 4 p q ^ { 2 } )$$

Evaluate

$$-36p^{3}q^{7}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-9\right)^{1}p^{2}q^{5}\times 4^{1}p^{1}q^{2}$$

Use the Commutative Property of Multiplication.

$$\left(-9\right)^{1}\times 4^{1}p^{2}p^{1}q^{5}q^{2}$$

To multiply powers of the same base, add their exponents.

$$\left(-9\right)^{1}\times 4^{1}p^{2+1}q^{5+2}$$

Add the exponents 2 and 1.

$$\left(-9\right)^{1}\times 4^{1}p^{3}q^{5+2}$$

Add the exponents 5 and 2.

$$\left(-9\right)^{1}\times 4^{1}p^{3}q^{7}$$

Multiply -9 times 4.

$$-36p^{3}q^{7}$$

Differentiate w.r.t. p

$$-108p^{2}q^{7}$$