Solve (-4m^2n^3)(-3m^2n^2)

$$( - 4 m ^ { 2 } n ^ { 3 } ) ( - 3 m ^ { 2 } n ^ { 2 } )$$

Evaluate

$$12m^{4}n^{5}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-4\right)^{1}m^{2}n^{3}\left(-3\right)^{1}m^{2}n^{2}$$

Use the Commutative Property of Multiplication.

$$\left(-4\right)^{1}\left(-3\right)^{1}m^{2}m^{2}n^{3}n^{2}$$

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

$$\left(-4\right)^{1}\left(-3\right)^{1}m^{2+2}n^{3+2}$$

Add the exponents 2 and 2.

$$\left(-4\right)^{1}\left(-3\right)^{1}m^{4}n^{3+2}$$

Add the exponents 3 and 2.

$$\left(-4\right)^{1}\left(-3\right)^{1}m^{4}n^{5}$$

Multiply -4 times -3.

$$12m^{4}n^{5}$$

Differentiate w.r.t. m

$$48m^{3}n^{5}$$