Question

$\bold{Prove \: That \: , \: {A }^{0} = 1}$
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Answer 1

$\large\boxed{\fcolorbox{green}{yellow}{Hey\:Mate....!}}$

$\bold{\underline{\underline{QUESTION}}}$

PROFE THAT A^0 = 1

$\bold{\underline{\underline{ANSWER}}}$

A^0 = 1

$\bold{\underline{\underline{Step\:To\:Step\:Explanation}}}$

A^0 = A^(1-1)

A^0 = [A^1]×[A^(-1)]

A^0 = A × (1/A) [ SINCE A^1 = A AND A^(-1) = 1/A]

A^O = A/A

A^O = 1

HENCE, IT IS PROVED

$\huge\mathfrak\blue{Think\:It\:Helps}$

Answer 2

$\huge\bf\green{Hey\:Dear}$

$A^0 = A^{1-1}\\ [ Since A^1 = A\:AND\:A^{-1}= 1/A]\\A^0 = [A^1]×[A^{-1}]\\A^0 = A × (1/A)\\A^0 = A/A\\A^0 = 1$

Hope it helps uh✌️