Find the following product.
\( \left(\frac{4}{3} u^{2} v w\right) \times\left(-5 u v w^{2}\right) \times\left(\frac{1}{3} v^{2} w u\right) \)

Given:

\( \left(\frac{4}{3} u^{2} v w\right) \times\left(-5 u v w^{2}\right) \times\left(\frac{1}{3} v^{2} w u\right) \)

To do:

We have to find the given product.

Solution:

$(\frac{4}{3} u^{2} v w) \times(-5 u v w^{2}) \times(\frac{1}{3} v^{2} w u)=\frac{4}{3} \times(-5) \times \frac{1}{3} \times u^{2} \times u \times u \times v \times v \times v^{2} \times w \times w^{2} \times w$

$=\frac{-20}{9} u^{2+1+1} \times v^{1+1+2} \times w^{1+2+1}$

$=\frac{-20}{9} \times u^{4} v^{4} w^{4}$

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Updated on: 10-Oct-2022

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