Question

Evaluate (9)^-5/2. Express your answer as a fraction in simplest form

Answer 1

Explanation:

(9)^-5/2 = (1/9)^5/2 = (1/59049)^(5/2) = 1/(59049)^(5/2) = 1/243^(5/2) = 1/243^(5/2) = 1/(3^5)^(5/2) = 1/3^(5*5/2) = 1/3^25/2 =1/3^(25/2) = 1/3^12.5 = 1/(3^12.5) =1/3^12.5 =1/43046721 = 1/43046721