Indices

Let’s simplify ${{a}^{4}}\div {{a}^{6}}$.
Using Law 2 of Indices, ${{a}^{4}}\div {{a}^{6}}={{a}^{4-6}}={{a}^{-2}}$,
So what is ${{a}^{-2}}$?
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Therefore, ${{a}^{-2}}=\frac{1}{{{a}^{2}}}$.
In general, we define
${{a}^{-n}}=\frac{1}{{{a}^{n}}}$
where&nbsp;$a$ is any real number and $a\ne 0$.

Let’s simplify ${{a}^{4}}\div {{a}^{6}}$.

Using Law 2 of Indices, ${{a}^{4}}\div {{a}^{6}}={{a}^{4-6}}={{a}^{-2}}$,

Therefore, ${{a}^{-2}}=\frac{1}{{{a}^{2}}}$.

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

Negative Indices

Negative Indices

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