Solve 3x^2y*2xy*1/3xyz^2

$$3 x ^ { 2 } y \cdot 2 x y \cdot \frac { 1 } { 3 } x y z ^ { 2 }$$

Evaluate

$$2z^{2}y^{3}x^{4}$$

Solution Steps

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

$$3x^{3}y\times 2y\times \frac{1}{3}xyz^{2}$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$3x^{4}y\times 2y\times \frac{1}{3}yz^{2}$$

Multiply y and y to get y^{2}.

$$3x^{4}y^{2}\times 2\times \frac{1}{3}yz^{2}$$

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

$$3x^{4}y^{3}\times 2\times \frac{1}{3}z^{2}$$

Multiply 3 and 2 to get 6.

$$6x^{4}y^{3}\times \frac{1}{3}z^{2}$$

Multiply 6 and \frac{1}{3} to get 2.

$$2x^{4}y^{3}z^{2}$$

Differentiate w.r.t. x

$$8z^{2}\left(xy\right)^{3}$$