SOLUTION: how do you simplify the expression with only positive exponents and with the answer in simplest form: (2a)^-1 / 2(a)^-2

Algebra ->  Expressions -> SOLUTION: how do you simplify the expression with only positive exponents and with the answer in simplest form: (2a)^-1 / 2(a)^-2      Log On


   

Question 668209: how do you simplify the expression with only positive exponents and with the answer in simplest form:
(2a)^-1 / 2(a)^-2
Found 2 solutions by MathLover1, ReadingBoosters:
Answer by MathLover1(20850) About Me  (Show Source):
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
%28%282a%29%5E-1%29%2F%282a%5E-1%29 = %281%2F%282a%29%5E1%29%2F%282%2Fa%5E2%29
Dividing is the same as multiplying the inverse, so
%281%2F2a%29%28a%5E2%29%2F2
Simplify
a%5Ecross%282%29+%2F+2%282cross%28a%29%29 = highlight_green%28a%2F4%29
............
Delighted to help.
-Reading Boosters
Wanting for others what we want for ourselves.
www.MyHomeworkHelpers.com