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

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

Evaluate

$$-12n^{6}m^{8}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 4 and 4.

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

Add the exponents 3 and 3.

$$3^{1}\left(-4\right)^{1}m^{8}n^{6}$$

Multiply 3 times -4.

$$-12m^{8}n^{6}$$

Differentiate w.r.t. m

$$-96n^{6}m^{7}$$