Solve (4x^{3}y^2z^5)*(6x^3yz^2

$$( 4 x ^ { 3 } y ^ { 2 } z ^ { 5 } ) \cdot ( 6 x ^ { 3 } y z ^ { 2 }$$

Evaluate

$$24y^{3}x^{6}z^{7}$$

Solution Steps

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

$$4x^{6}y^{2}z^{5}\times 6yz^{2}$$

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

$$4x^{6}y^{3}z^{5}\times 6z^{2}$$

To multiply powers of the same base, add their exponents. Add 5 and 2 to get 7.

$$4x^{6}y^{3}z^{7}\times 6$$

Multiply 4 and 6 to get 24.

$$24x^{6}y^{3}z^{7}$$

Differentiate w.r.t. x

$$144y^{3}x^{5}z^{7}$$