Question

Rewrite the following without an exponent. (8/9)^-2

Answer 1

Answer:

The answer to your question is $\frac{81}{64}$

Step-by-step explanation:

Use Law of exponents to solve this problem.

1.- Power of a fraction rule

         $(\frac{8}{9})^{-2} = \frac{(8)^{-2} }{(9)^{-2} }$

2.- Negative exponent

         $\frac{8^{-2} }{9^{-2} } = \frac{9^{2} }{8^{2} }$

3.- Simplify

          $\frac{9^{2} }{8^{2} } = \frac{81}{64}$