How do you simplify $81^(3/4) / 81^(1/4)$ ?

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Answer 1 · 2018-04-17T03:21:08

$81^(3/4)/81^(1/4)$

Law of indices states that $a^(m/n) = root(n)(a^m)$

$root(4)(81^3)/root(4)(81)$

So, we have,

$root(4)(81^3/81)$

Therefore, our result is,

$root(4)(81^2)$

$rArr root(4)((3^4)^2)$

$rArr 3^(8/4)$

$rArr 3^2$

$rArr 9$

Hope this helps :)

How do you simplify 81^(3/4) / 81^(1/4) 81^(3/4) / 81^(1/4) ?