Solve (7xy)*(3yz)*(5x^2yz)

$$(7xy) \times (3yz) \times (5 { x }^{ 2 } yz)$$

Evaluate

$$105z^{2}\left(xy\right)^{3}$$

Solution Steps

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

$$7x^{3}y\times 3yz\times 5yz$$

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

$$7x^{3}y^{2}\times 3z\times 5yz$$

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

$$7x^{3}y^{3}\times 3z\times 5z$$

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

$$7x^{3}y^{3}\times 3z^{2}\times 5$$

Multiply 7 and 3 to get 21.

$$21x^{3}y^{3}z^{2}\times 5$$

Multiply 21 and 5 to get 105.

$$105x^{3}y^{3}z^{2}$$

Differentiate w.r.t. x

$$315y^{3}\left(xz\right)^{2}$$