Find the following product.
$ (0.5 x) \times\left(\frac{1}{3} x y^{2} z^{4}\right) \times\left(-24 x^{2} y z\right) $

Given:

\( (0.5 x) \times\left(\frac{1}{3} x y^{2} z^{4}\right) \times\left(-24 x^{2} y z\right) \)

To do:

We have to find the given product.

Solution:

$(0.5 x) \times(\frac{1}{3} x y^{2} z^{4}) \times(-24 x^{2} y z)=(\frac{5}{10} \times \frac{1}{3} \times {-24}) \times x \times x \times x^{2} \times y^{2} \times y \times z^{4} \times z$

$= {-4} x^{1+1+2} \times y^{2+1} \times z^{4+1}$

$= {-4} x^{4} y^{3} z^{5}$