Question

Solve ${\left(\frac{1}{3}\right)}^3\times {\left(\frac{-3}{4}\right)}^2\times \left(\frac{-4}{3}\right)\times \left(\frac{3}{2}\right)$

Answer 1

${\left(\frac{1}{3}\right)}^3\times {\left(\frac{-3}{4}\right)}^2\times \frac{-4}{3}\times \frac{3}{2}$

$=\frac{1}{3}\times \frac{1}{3}\times \frac{1}{3}\times \frac{-3}{4}\times \frac{-3}{4}\times \frac{-4}{3}\times \frac{3}{2}$

$=\frac{1}{27}\times \frac{9}{16}\times \frac{-12}{6}$

$=\frac{1\times 9\times -4\times 3}{9\times 3\times 4\times 4\times 3\times 2}$

$=\frac{-4}{4\times 4\times 3\times 2}$

$=\frac{-1}{24}$