SOLUTION: {{{3^(9/2) / 3^(3/4)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: {{{3^(9/2) / 3^(3/4)}}}      Log On


   

Question 939931: 3%5E%289%2F2%29+%2F+3%5E%283%2F4%29
Answer by laoman(51) About Me  (Show Source):
You can put this solution on YOUR website!
3%5E%289%2F2%29%2F3%5E%283%2F4%29
This is an indices question
In indices a%5Ex%2Fa%5Ey+=+a%5E%28x-y%29
Using the rule above,
3%5E%289%2F2%29%29+%2F+3%5E%283%2F4%29 =
3%5E+%289%2F2-3%2F4%29+
= 3%5E%28%2818-3%29%2F4%29
= 3%5E%2815%2F4%29