For this case we must find an expression equivalent to:
[tex]216 ^ {\frac {1} {3}[/tex]
So, we can rewrite the 216:
[tex]216 = 6 * 6 * 6 = 6 ^ 3[/tex]
Rewriting the expression:
[tex](6 ^ 3) ^ {\frac {1} {3}=[/tex]
By definition of power properties we have:
[tex](a ^ n) ^ m = a ^ {n * m}[/tex]
So:
[tex]6 ^ {\frac {3} {3}} =\\6 ^ 1 =\\6[/tex]
Answer:
[tex]216 ^ {\frac {1} {3}}= 6[/tex]
