one way is to factor and group and get every 3
729=3 times 3 times 3 times 3 times 3 times 3
so we group the ones that happen 3 times
729=(333) times (333)
we know that we can take the cube root of each group and multiply the result
729=\(( \sqrt[3]{3*3*3})( \sqrt[3]{3*3*3})\)=(3)(3)=9
the answer is 9
