Question

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

Answer 1

The answer to your question is
`(81)/(64)`

Explanation:

Use Law of exponents to solve this problem.

1.- Power of a fraction rule

`((8)/(9))^(-2) = ((8)^(-2) )/((9)^(-2) )`

2.- Negative exponent

`(8^(-2) )/(9^(-2) ) = (9^(2) )/(8^(2) )`

3.- Simplify

`(9^(2) )/(8^(2) ) = (81)/(64)`