Solve (7x^{2}y^3z^4)(x^4y^3z)

$$( 7 x ^ { 2 } y ^ { 3 } z ^ { 4 } ) ( x ^ { 4 } y ^ { 3 } z )$$

Evaluate

$$7z^{5}\left(xy\right)^{6}$$

Solution Steps

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

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

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

$$7x^{6}y^{6}z^{4}z$$

To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.

$$7x^{6}y^{6}z^{5}$$

Differentiate w.r.t. x

$$42y^{6}\left(xz\right)^{5}$$