Answer:
The answer to your question is [tex]\frac{81}{64}[/tex]
Step-by-step explanation:
Use Law of exponents to solve this problem.
1.- Power of a fraction rule
[tex](\frac{8}{9})^{-2} = \frac{(8)^{-2} }{(9)^{-2} }[/tex]
2.- Negative exponent
[tex]\frac{8^{-2} }{9^{-2} } = \frac{9^{2} }{8^{2} }[/tex]
3.- Simplify
[tex]\frac{9^{2} }{8^{2} } = \frac{81}{64}[/tex]
