Question

What expression is equivalent to a^m divided by a^n?

Answer 1

`a^m=\underbrace{a\cdot a\cdot a\cdot...\cdot a}_m\\\\a^n=\underbrace{a\cdot a\cdot a\cdot...\cdot a}_n\\\\a^m:a^n=(a^m)/(a^n)=\frac{\overbrace{a\cdot a\cdot a\cdot...\cdot a}^m}{\underbrace{a\cdot a\cdot a\cdot...\cdot a}_n}=a^(m-n)\\\\\boxed{a^m:a^n=a^(m-n)}`