finding cube root of 512 using the factoring method

[blessed91]

"Find the cube root of 512 using the factoring method"

my book explains how to use the factoring method for this, but I didn't understand it at all. Is there an easier way to do this?

 

[galactus]

\(\displaystyle 2^{9}=512\)

\(\displaystyle (2^{3})^{3}=512\)

\(\displaystyle 2^{3}=\sqrt[3]{512}\)

 

[blessed91]

thank you so much! that makes sense, and it's easy.