Answer:
[tex]\frac{1024}{2025}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}^{-4} = \frac{1}{\frac{3}{4}^{4} }[/tex]
(3/4)^4 = 81/256
1 ÷ 81/256 = 256/81
So;
[tex]\frac{256}{81} * \frac{4}{9} = \frac{1024}{729}[/tex]
[tex]\frac{1024}{729} / n = \frac{1}{9/25}[/tex]
[tex]\frac{1024}{729n} = \frac{25}{9} \\\\n = \frac{1024 *9 }{25 * 729} = \frac{1024}{2025}[/tex]
