Evaluate each of the following when $x=2, y=-1$.$ \left(\frac{3}{5} x^{2} y\right) \times\left(\frac{-15}{4} x y^{2}\right) \times\left(\frac{7}{9} x^{2} y^{2}\right) $

Given:

\( \left(\frac{3}{5} x^{2} y\right) \times\left(\frac{-15}{4} x y^{2}\right) \times\left(\frac{7}{9} x^{2} y^{2}\right) \)

To do:

We have to evaluate the given expression when $x=2, y=-1$.

Solution:

$(\frac{3}{5} x^{2} y) \times(-\frac{15}{4} x y^{2}) \times(\frac{7}{9} x^{2} y^{2})=\frac{3}{5} \times \frac{-15}{4} \times \frac{7}{9} \times x^{2} \times x \times x^{2} \times y \times y^{2} \times y^{2}$

$=\frac{-7}{4} \times x^{2+1+2} \times y^{1+2+2}$

$=\frac{-7}{4} x^{5} y^{5}$

$=\frac{-7}{4}(2)^{5}(-1)^{5}$

$=\frac{-7}{4} \times 32 \times(-1)$

$=7 \times 8$

$=56$

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Updated on: 10-Oct-2022

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