Question

find the value of x
​

Answer 1

Step-by-step explanation:

GIVEN:-

$( { \frac{ - 2}{3} })^{ - 3} \div x =</p><p> ( { \frac{4}{27} })^{ - 2}$

SOLUTION:-

$x = ( { \frac{ - 2}{3} })^{ - 3} \times ({ \frac{4}{27} })^{2}$

$x = ( { \frac{ - 3}{2} })^{3} \times \frac{4 \times 4}{27 \times 27}$

$x = \frac{ - 27}{8} \times \frac{8 \times 2}{27 \times 27}$

$x = \frac{ - 2}{27}$

HOPE THAT HELPS!!

Answer 2

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$( \frac{- 2}{3}) {}^{ - 3} \: \div \: x = \: (\frac{4}{27}){}^{ - 2}$

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$x = \frac{- 783}{16} = 48.93$

$\large\fcolorbox{magenta}{aqua}{\underline{Explanation !}}$

$(\frac{ - 3}{2} ){}^{3} - (\frac{27}{4})^{2} = x$

$\frac{ - 27}{8} - \: \frac{729}{16} = x$

$\frac{ - 54 - 729}{16} = x$

$x = \frac{- 783}{16} = 48.93$

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