Solve {l}{-16/5xz*}{-6/8y^2z^2}

$$\left. \begin{array} { l } { - \frac { 16 } { 5 } x z \times } \\ { - \frac { 6 } { 8 } y ^ { 2 } z ^ { 2 } } \end{array} \right.$$

Evaluate

$$\frac{12xy^{2}z^{3}}{5}$$

Solution Steps

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

$$-\frac{16}{5}xz^{3}\left(-\frac{6}{8}\right)y^{2}$$

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$-\frac{16}{5}xz^{3}\left(-\frac{3}{4}\right)y^{2}$$

Multiply -\frac{16}{5} and -\frac{3}{4} to get \frac{12}{5}.

$$\frac{12}{5}xz^{3}y^{2}$$

Differentiate w.r.t. x

$$\frac{12y^{2}z^{3}}{5}$$