SOLUTION: (9/8)^-2 the 9/8 is of course a fraction and the ^-2 is for a negative exponent. I dont get these.

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: (9/8)^-2 the 9/8 is of course a fraction and the ^-2 is for a negative exponent. I dont get these.      Log On


   

Question 240338: (9/8)^-2 the 9/8 is of course a fraction and the ^-2 is for a negative exponent. I dont get these.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(9/8)^-2
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= (9/8)^-2/1
It's a fraction. Multiply NUM and DEN by (9/8)^2
= (9/8)^0/(9/8)^2
= 1/(9/8)^2 anything with exponent 0 = 1
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Moving a term from NUM to DEN (or v.v.) changes the sign of the exponent.
(9/8)^-2 = 1/(9/8)^2
1/(9/8)^2 = (1/(9/8)^2 = (8/9)^2
1 over a fraction is the inverse of the fraction.
= 64/81