Question 124320
{{{root(4,81)}}} Start with the given expression



{{{81^(1/4)}}} Rewrite the radical expression using exponent notation



{{{81^((1/2)(1/2))}}} Factor {{{1/4}}} into {{{(1/2)(1/2)}}}



{{{(81^(1/2))^(1/2)}}} Rewrite the expression using the identity {{{x^(y*z)=(x^y)^z}}}



{{{sqrt(sqrt(81))}}} Convert the expression back to radical notation



{{{sqrt(9)}}} Take the square root of 81 to get 9



{{{3}}} Take the square root of 9 to get 3



So

{{{root(4,81)=3}}}