If $a^{m} = a^{n}$ where $a
eq 0,\ \pm 1$, then which is true?

Question

If $a^{m} = a^{n}$ where $a 
eq 0,\ \pm 1$, then which is true?

Aicharya · Accepted Answer

For a non-trivial base ($a 
eq 0, \pm 1$), $a^{m} = a^{n}$ forces the exponents to be equal: $m = n$.

If $a^{m} = a^{n}$ where $a \neq 0,\ \pm 1$, then which is true?