Solve -3mn^4*(-5m^2n^2)

$$- 3 m n ^ { 4 } \times ( - 5 m ^ { 2 } n ^ { 2 } )$$

Evaluate

$$15m^{3}n^{6}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 1 and 2.

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

Add the exponents 4 and 2.

$$\left(-3\right)^{1}\left(-5\right)^{1}m^{3}n^{6}$$

Multiply -3 times -5.

$$15m^{3}n^{6}$$

Differentiate w.r.t. m

$$45m^{2}n^{6}$$