Question

Convert the following numbers to exponential form using $a^{m} \div a^{n}=a^{m-n}$ and simplify: 81 ÷ 9

Answer 1

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Given Identity :-


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


Answer:-

Using the above identity...↓


$= \frac{81}{9} \\ = > \frac{ {9}^{2} }{9} \\ \\ as \: here \: is \: same \: base \\ \\ \: 9 \: so \: we \: can \: use \: the \: above \: identity \\ \\ = > {9}^{2 - 1} = 9$

So, the answer is 9

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