Question

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

Answer 1

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

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

$=\frac{-3\times (-3)}{5\times 2}\times x^{3+1}\times z^{1+2}\times y$ [Using $a^m\times a^n=a^{m+n}$]

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