Solve (2x^3y^2)*(5x^3yz^2)=

$$( 2 x ^ { 3 } y ^ { 2 } ) \cdot ( 5 x ^ { 3 } y z ^ { 2 } ) =$$

Evaluate

$$10z^{2}y^{3}x^{6}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.

$$2x^{6}y^{2}\times 5yz^{2}$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$2x^{6}y^{3}\times 5z^{2}$$

Multiply 2 and 5 to get 10.

$$10x^{6}y^{3}z^{2}$$

Differentiate w.r.t. x

$$60z^{2}y^{3}x^{5}$$