SOLUTION: Hi, I don't understand why this is the answer: 2/(x^-1) times by (x+1)/2 = 1/(x-1) Could you please have a step-by-step clear explanation? Thank you very much in advance! :)

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Hi, I don't understand why this is the answer: 2/(x^-1) times by (x+1)/2 = 1/(x-1) Could you please have a step-by-step clear explanation? Thank you very much in advance! :)      Log On


   

Question 1017813: Hi, I don't understand why this is the answer:
2/(x^-1) times by (x+1)/2 = 1/(x-1)
Could you please have a step-by-step clear explanation? Thank you very much in advance! :)
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
That's not the answer!

2%2Fx%5E%28-1%29%22%22%2A%22%22%28x%2B1%29%2F2

Cancel the 2's:

cross%282%29%2Fx%5E%28-1%29%22%22%2A%22%22%28x%2B1%29%2Fcross%282%29

%28x%2B1%29%2Fx%5E%28-1%29

A exponential factor in a denominator can be 
moved to becoming a factor of the numerator by 
changing the sign of the exponent (or vice versa):

x%5E1%28x%2B1%29

or

x%28x%2B1%29

Edwin