Find the following product.
$ \left(\frac{-24}{25} x^{3} z\right) \times\left(\frac{-15}{16} x z^{2} y\right) $

Given:

\( \left(\frac{-24}{25} x^{3} z\right) \times\left(\frac{-15}{16} x z^{2} y\right) \)

To do:

We have to find the given product.

Solution:

$(\frac{-24}{25} x^{3} z) \times(\frac{-15}{16} x z^{2} y)=\frac{-24}{25} \times \frac{-15}{16} \times x^{3} \times x \times z \times z^{2} \times y$

$=\frac{-3 \times(-3)}{5 \times 2} x^{3+1} \times z^{1+2} \times y$

$=\frac{9}{10} x^{4} z^{3} y$

$=\frac{9}{10} x^{4} y z^{3}$