Evaluate
$ \left(\frac{4}{9} a b c^{3}\right) \times\left(\frac{-27}{5} a^{3} b^{2}\right) \times\left(-8 b^{3} c\right) $

Given:

\( \left(\frac{4}{9} a b c^{3}\right) \times\left(\frac{-27}{5} a^{3} b^{2}\right) \times\left(-8 b^{3} c\right) \)

To do:

We have to evaluate the given expression.

Solution:

$(\frac{4}{9} a b c^{3}) \times(\frac{-27}{5} a^{3} b^{2}) \times(-8 b^{3} c)=\frac{4}{9} \times \frac{-27}{5} \times \frac{-8}{1} \times a \times a^{3} \times b \times b^{2} \times b^{3} \times c^{3} \times c$

$=\frac{96}{5}\times a^{1+3} \times b^{1+2+3} \times c^{3+1}$

$=\frac{96}{5} a^{4} b^{6} c^{4}$

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Updated on: 10-Oct-2022

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