216 raised to the power 1/3 can also be written as cube root of 216.
Changing the given expression to radical form, we can write:
[tex](216)^{ \frac{1}{3} } \\ \\
= \sqrt[3]{216} [/tex]
216 is the cube of 6 i.e. multiply 6 three times (6 x 6 x 6), you will get 216.
So we can write the above expression as:
[tex] \sqrt[3]{(6)^{3} } [/tex]
The cube root and cube cancel out each other, leaving the answer equal to 6.
So, the correct answer is option B
