Question 177768
{{{root(3,root(4,x))*sqrt(root(3,x))}}} can be written as
:
{{{((x)^(1/4))^(1/3)*((x)^(1/3))^(1/2)}}}
:
by rule {{{((x)^n)^m=x^mn}}} and {{{x^n*x^m=x^(m+n)}}}
:
so {{{x^(1/12)*x^(1/6)}}}
:
{{{x^(1/12+1/6)}}}
:
1/12+1/6=1/12+2/12=3/12=1/4
:
{{{x^(1/4)}}}
:
{{{root(4,x)}}}