Solve 18xyzdiv9yz*(-5yz)

$$18 x y z \div 9 y z \times ( - 5 y z )$$

Evaluate

$$-10x\left(yz\right)^{3}$$

Solution Steps

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

$$\frac{18xyz}{9}y^{2}z\left(-5\right)z$$

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

$$\frac{18xyz}{9}y^{2}z^{2}\left(-5\right)$$

Divide 18xyz by 9 to get 2xyz.

$$2xyzy^{2}z^{2}\left(-5\right)$$

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

$$2xy^{3}zz^{2}\left(-5\right)$$

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

$$2xy^{3}z^{3}\left(-5\right)$$

Multiply 2 and -5 to get -10.

$$-10xy^{3}z^{3}$$

Differentiate w.r.t. x

$$-10\left(yz\right)^{3}$$