Solve (-4m^2n^5)(-2mn^10)

$$( - 4 m ^ { 2 } n ^ { 5 } ) ( - 2 m n ^ { 10 } )$$

Evaluate

$$8m^{3}n^{15}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-4\right)^{1}m^{2}n^{5}\left(-2\right)^{1}m^{1}n^{10}$$

Use the Commutative Property of Multiplication.

$$\left(-4\right)^{1}\left(-2\right)^{1}m^{2}m^{1}n^{5}n^{10}$$

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

$$\left(-4\right)^{1}\left(-2\right)^{1}m^{2+1}n^{5+10}$$

Add the exponents 2 and 1.

$$\left(-4\right)^{1}\left(-2\right)^{1}m^{3}n^{5+10}$$

Add the exponents 5 and 10.

$$\left(-4\right)^{1}\left(-2\right)^{1}m^{3}n^{15}$$

Multiply -4 times -2.

$$8m^{3}n^{15}$$

Differentiate w.r.t. m

$$24m^{2}n^{15}$$