SOLUTION: Well my teacher gave us this homework, and he didn't really explain it well. I'm supposed to simplify, and I can't use negative or fractional exponents in the answer. Here's an exa

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Well my teacher gave us this homework, and he didn't really explain it well. I'm supposed to simplify, and I can't use negative or fractional exponents in the answer. Here's an exa      Log On


   

Question 230821: Well my teacher gave us this homework, and he didn't really explain it well. I'm supposed to simplify, and I can't use negative or fractional exponents in the answer. Here's an example: abc%2Fa%5E1%2F2++b%5E-2%2F3 I have no idea how to do this. Please Help!
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
abc%2Fa%5E%281%2F2%29b%5E%28-2%2F3%29
Multiply NUM and DEN by b%5E%282%2F3%29
= ab%5E%285%2F3%29c%2Fa%5E%281%2F2%29 = ab^(5/3)c/a^(1/2)
Multiply NUM and DEN by a^(1/2)
= a^(3/2)b^(5/3)c
-----------------
The fractions can't be eliminated, unless you use
a^(3/2) = a%2Asqrt%28a%29
That's a different form of fractional exponent.