Solve (-6m^2n^3)*(-7m^3n^2)=

$$( - 6 m ^ { 2 } n ^ { 3 } ) \cdot ( - 7 m ^ { 3 } n ^ { 2 } ) =$$

Evaluate

$$42\left(mn\right)^{5}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-6\right)^{1}m^{2}n^{3}\left(-7\right)^{1}m^{3}n^{2}$$

Use the Commutative Property of Multiplication.

$$\left(-6\right)^{1}\left(-7\right)^{1}m^{2}m^{3}n^{3}n^{2}$$

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

$$\left(-6\right)^{1}\left(-7\right)^{1}m^{2+3}n^{3+2}$$

Add the exponents 2 and 3.

$$\left(-6\right)^{1}\left(-7\right)^{1}m^{5}n^{3+2}$$

Add the exponents 3 and 2.

$$\left(-6\right)^{1}\left(-7\right)^{1}m^{5}n^{5}$$

Multiply -6 times -7.

$$42m^{5}n^{5}$$

Differentiate w.r.t. m

$$210m^{4}n^{5}$$