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Evaluate
$ \left(\frac{-4}{7} a^{2} b\right) \times\left(\frac{-2}{3} b^{2} c\right) \times\left(\frac{-7}{6} c^{2} a\right) $
Given:
\( \left(\frac{-4}{7} a^{2} b\right) \times\left(\frac{-2}{3} b^{2} c\right) \times\left(\frac{-7}{6} c^{2} a\right) \)
To do:
We have to evaluate the given expression.
Solution:
$(\frac{-4}{7} a^{2} b) \times(\frac{-2}{3} b^{2} c) \times(\frac{-7}{6} c^{2} a)=-\frac{-4}{7} \times \frac{-2}{3} \times \frac{-7}{6} \times a^{2} \times a \times b \times b^{2} \times c \times c^{2}$
$=\frac{-4}{9} \times a^{2+1} \times b^{1+2} \times c^{1+2}$
$=\frac{-4}{9} a^{3} b^{3} c^{3}$
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