Solve (2m^3z^4)(5m^2z^2)

$$( 2 m ^ { 3 } z ^ { 4 } ) ( 5 m ^ { 2 } z ^ { 2 } )$$

Evaluate

$$10m^{5}z^{6}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$2^{1}m^{3}z^{4}\times 5^{1}m^{2}z^{2}$$

Use the Commutative Property of Multiplication.

$$2^{1}\times 5^{1}m^{3}m^{2}z^{4}z^{2}$$

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

$$2^{1}\times 5^{1}m^{3+2}z^{4+2}$$

Add the exponents 3 and 2.

$$2^{1}\times 5^{1}m^{5}z^{4+2}$$

Add the exponents 4 and 2.

$$2^{1}\times 5^{1}m^{5}z^{6}$$

Multiply 2 times 5.

$$10m^{5}z^{6}$$

Differentiate w.r.t. m

$$50m^{4}z^{6}$$