Solve (-8m^2n^3)(1/2mn

$$( - 8 m ^ { 2 } n ^ { 3 } ) ( \frac { 1 } { 2 } m n$$

Evaluate

$$-4m^{3}n^{4}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-8\right)^{1}m^{2}n^{3}\times \left(\frac{1}{2}\right)^{1}m^{1}n^{1}$$

Use the Commutative Property of Multiplication.

$$\left(-8\right)^{1}\times \left(\frac{1}{2}\right)^{1}m^{2}m^{1}n^{3}n^{1}$$

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

$$\left(-8\right)^{1}\times \left(\frac{1}{2}\right)^{1}m^{2+1}n^{3+1}$$

Add the exponents 2 and 1.

$$\left(-8\right)^{1}\times \left(\frac{1}{2}\right)^{1}m^{3}n^{3+1}$$

Add the exponents 3 and 1.

$$\left(-8\right)^{1}\times \left(\frac{1}{2}\right)^{1}m^{3}n^{4}$$

Multiply -8 times \frac{1}{2}.

$$-4m^{3}n^{4}$$

Differentiate w.r.t. m

$$-12m^{2}n^{4}$$