Indices

Let’s simplify ${{a}^{5}}\div {{a}^{5}}$.
Using Law 2 of Indices, ${{a}^{5}}\div {{a}^{5}}={{a}^{5-5}}={{a}^{0}}$,
So what is ${{a}^{0}}$? 
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1765772268824-os44e7jd16.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3NjU3NzIyNjg4MjQtb3M0NGU3amQxNi5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkzMDExMTk1LCJleHAiOjE3OTMwMTE0OTV9.RsybA8WMkCaiqPUfexdRcbRSMEw-62KJH3lzB1dusRg" style="max-width: min(150px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
Therefore, ${{a}^{0}}=1$.
In general, for&nbsp;$n=0$, we define
${{a}^{0}}=1$
where&nbsp;$a$ is any real number and $a\ne 0$. 
We shall now apply the laws of indices when the indices are zero or negative integers.

Let’s simplify ${{a}^{5}}\div {{a}^{5}}$.

Using Law 2 of Indices, ${{a}^{5}}\div {{a}^{5}}={{a}^{5-5}}={{a}^{0}}$,

where $a$ is **any real number** and $a\ne 0$. 

We shall now apply the laws of indices when the indices are zero or negative integers.

Zero Indices

Zero Indices

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