SOLUTION: Rewrite the expression using positive exponents 2x/ y^-2. I did 2x*1/y^-2 but I can't figure out whats next.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Rewrite the expression using positive exponents 2x/ y^-2. I did 2x*1/y^-2 but I can't figure out whats next.      Log On


   

Question 420884: Rewrite the expression using positive exponents 2x/ y^-2.
I did 2x*1/y^-2 but I can't figure out whats next.
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
In general
a%5E%28-n%29+=+a%5E%28-n%29%2F1+=+1%2Fa%5En
and
1%2Fa%5E%28-n%29+=+a%5En%2F1+=+a%5En
In short, if some expression with a negative exponent is in a numerator (or not in a fraction at all, then just move it into the denominator and change the exponent to positive. And if an expression in a denominator has a negative exponent, just move it up into the numerator and change the exponent to positive. Even shorter, an expression with a negative exponent is the reciprocal of that expression with a positive exponent (and vice versa).

So: