Evaluate it. [tex]( - \frac{2}{3} ) ^{ - 2} \times ( \frac{ - 9}{10} ) ^{ - 3} [/tex]. Created by hypo12. Math

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September 2021 2 15 Report

Evaluate it.

[tex]( - \frac{2}{3} ) ^{ - 2} \times ( \frac{ - 9}{10} ) ^{ - 3} [/tex]

Step-by-step explanation:

$( - \frac{2}{3} ) ^{ - 2} \times (\frac{ - 9}{10} ) ^{ - 3}$

$( \frac{ - 2}{3} ) ^{ - 2} \times ( \frac{ - 9}{10} ) ^{ - 3}$

$= > (\frac{ - 3}{2} ) ^{2} \times ( \frac{ - 10}{9} ) ^{3}$

$= > ( \frac{3}{2} ) ^{2} \times - ( \frac{10}{9} ) ^{3}$

$= > - \frac{ {3}^{2} }{ {2}^{2} } \times \frac{ {10}^{3} }{ {9}^{3} }$

$= > - \frac{9}{4} \times \frac{1000}{729}$

$= > - \frac{250}{81} .$