Find the following product.
$ \left(\frac{7}{9} a b^{2}\right) \times\left(\frac{15}{7} a c^{2} b\right) \times\left(\frac{-3}{5} a^{2} c\right) $

Given:

\( \left(\frac{7}{9} a b^{2}\right) \times\left(\frac{15}{7} a c^{2} b\right) \times\left(\frac{-3}{5} a^{2} c\right) \)

To do:

We have to find the given product.

Solution:

$(\frac{7}{9} a b^{2}) \times(\frac{15}{7} a c^{2} b) \times(\frac{-3}{5} a^{2} c)=\frac{7}{9} \times \frac{15}{7} \times \frac{-3}{5} \times a \times a \times a^{2} \times b^{2} \times b \times c^{2} \times c$

$=-1 \times a^{1+1+2} \times b^{2+1} \times c^{2+1}$

$=-a^{4} b^{3} c^{3}$

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Updated on: 10-Oct-2022

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