X Power Zero Equal One

X power zero equal one proof

we have mathematical property in algebra

$\frac{a^{m}}{a^{n}}=a^{m-n}$

if we put m=n on both side, we get result

$\frac{a^{n}}{a^{n}}=a^{n-n}$

after cancelation, the fraction of same value and n-n=0

we get the result

$1= a^{0}$

we can write it

$a^{0}=1$