SOLUTION: what is 4x^-7 in fraction form? Or how can you use fractions to prove the following to be true? x^-5*4x^-7=4x^-12

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: what is 4x^-7 in fraction form? Or how can you use fractions to prove the following to be true? x^-5*4x^-7=4x^-12      Log On


   

Question 794675: what is 4x^-7 in fraction form? Or how can you use fractions to prove the following to be true?
x^-5*4x^-7=4x^-12
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
what is 4x^-7 in fraction form? Or how can you use fractions to prove the following to be true?
x%5E-5%2A4x%5E-7=4x%5E-12
Since we can multiply in any order the left hand side
can be written as 4%2Ax%5E-5%2Ax%5E-7
Notice x%5E-5%2Ax%5E-7 = x%5E-12 and 4%2Ax%5E-5%2Ax%5E-7 = 4%2Ax%5E-12
So we can safely say x%5E-5%2A4x%5E-7=4x%5E-12
4x%5E-12 can be written as
4%2A%28x%5E-12%29 = 4%2A%281%2F%28x%5E12%29%29 or %284%2F%28x%5E12%29%29