Question

-2/3 whole to the power -3/x=4/27 whole to the power -2​

Answer 1

Answer:

do you want value of X?????

Answer 2

Step-by-step explanation:

I feel it should be 8 instead of 4.

GIVEN:-

$( { \frac{ - 3}{x} })^{ \frac{ - 2}{3} } =( { \frac{8}{27} })^{ - 2}$

SOLUTION:-

$( { \frac{ - x}{3} })^{ \frac{2}{3} } = ({ \frac{27}{8} })^{2}$

$( { \frac{ - x}{3} })^{ \frac{2}{3} } = ({ \frac{ \sqrt[3]{{3}^{9}} }{ \sqrt[3]{{2}^{9}}} })^{2}$

$( { \frac{ - x}{3} })^{ \frac{2}{3} } = ({ \frac{ {{3}^{9}} }{ {{2}^{9}}} })^{ \frac{2}{3} }$

$\frac{ - x}{3} = \frac{ {3}^{9} }{ {2}^{9} }$

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

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

HOPE THAT HELPS!!