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

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

Evaluate

$$-30z^{2}x^{5}y^{6}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

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

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

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

Multiply -6 and 5 to get -30.

$$-30x^{5}y^{6}z^{2}$$

Differentiate w.r.t. x

$$-150z^{2}x^{4}y^{6}$$