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 :)