Question

(4/9)-⁶×(2/3)²×(3/2)x=1 please solve this problem.​

Answer 1

$\Huge\bf\maltese{\underline{\green{Answer°᭄}}}\maltese$

$\implies$$\large\bf{\underline{\red{VERIFIED✔}}}$

$= > ( \frac{4}{9} )^{ - 6} ×( \frac{2}{3} )²×( \frac{3}{2} )^{x} =1 \\ \\ = > ( \frac{9}{4})^{6} ×( \frac{2}{3} )²×( \frac{3}{2} )^{x} =1 \\ \\ = > \frac{ {9}^{6} }{ {4}^{6} } \times \frac{ {2}^{2} }{ {3}^{2} } \times (\frac{ {3} }{2})^{x} \\ \\ = > \frac{531,441}{4,096} \times \frac{4}{9} \times (\frac{ {3} }{2})^{x} \\ \\ = > (\frac{ {3}}{ {2} })^12 \times \frac{4}{9} \times ( \frac{3}{2} )^{x}$

$\boxed{I \:Hope\: it's \:Helpful}$