Question

Find the value of x:-
Question is in the attachment....
Best answer,brainliest

Answer 1

Answer:

x = 0

Step-by-step explanation:

$(\frac{-3}{2} )^{6} X (\frac{4}{9} )^{3}$

⇒$(\frac{-3}{2}) ^{6} X[( \frac{2}{3}) ^{2} ]^{3}$

⇒$(\frac{-3}{2} )^{6} X (\frac{2}{3}) ^{6}$

⇒$(\frac{-3 X 2}{2 X 3} )^{6}$

⇒$(-1)^{6}$

⇒$1$

so,

$\\1 = (\frac{1}{2}) ^{3x}$

for any no. to be equal to 1 when raised to a power, the power must be equal to 0.

∴ $3x = 0$

$x = \frac{0}{3}$

∴$x = 0$

hope it helps

mark brainliest