SOLUTION: How do I simplify fractions when the denominator has a negative exponent? For example : 3/6^-1

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Question 789349: How do I simplify fractions when the denominator has a negative exponent?
For example : 3/6^-1
Found 2 solutions by KMST, Alan3354:
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The definition of power with a negative exponent is the inverse of the power with the opposite exponent:
a%5E%28-b%29=1%2Fa%5Eb
6%5E%28-1%29=1%2F6%5E1=1%2F6
3%2F6%5E%28-1%29=3%2F%28%281%2F6%29%29=3%2A%286%2F1%29=3%2A6%2F1=3%2A6=18
Basically, if you do not want to have a power with a negative exponent, you just move the power to the other side of the fraction bar and drop the minus sign, as in
3%5E%28-7%29x%5E2%2F4%5E%28-6%29%2Fy%5E%28-5%29=4%5E6x%5E2y%5E5%2F3%5E7

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How do I simplify fractions when the denominator has a negative exponent?
For example : 3/6^-1
-----------
3%2F6%5E-1
Multiply NUM and DEN by 6
= 18/1
= 18