Find the following product.
\( \left(\frac{-7}{5} x y^{2} z\right) \times\left(\frac{13}{3} x^{2} y z^{2}\right) \)

Given:

\( \left(\frac{-7}{5} x y^{2} z\right) \times\left(\frac{13}{3} x^{2} y z^{2}\right) \)

To do:

We have to find the given product.

Solution:

$(\frac{-7}{5} x y^{2} z) \times(\frac{13}{3} x^{2} y z^{2})=[\frac{-7}{5}\times\frac{13}{3}]\times(xy^2z \times x^2yz^2)$

$=\frac{-7\times13}{5\times3}\times x^{1+2}\times y^{2+1}\times z^{1+2}$

$=\frac{-91}{15}x^3y^3z^3$