Question 152267
You can use a calculator to calculate this problem in one step, but here's an algebraic way to do it:



{{{root(3,729)}}} Start with the given expression.



{{{root(3,9^3)}}} Rewrite 729 as {{{9^3}}}. Note: {{{729=9^3}}}



{{{9}}} Take the cube root of 9 cubed to just get 9. Note the cube root of anything cubed is itself (ie {{{root(3,x^3)=x}}}



So {{{root(3,729)=9}}}