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:
![(216)^{ \frac{1}{3} } \\ \\ = \sqrt[3]{216}](https://tex.z-dn.net/?f=%28216%29%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%0A%3D%20%5Csqrt%5B3%5D%7B216%7D%20)
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:
![\sqrt[3]{(6)^{3} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%286%29%5E%7B3%7D%20%7D%20)
The cube root and cube cancel out each other, leaving the answer equal to 6.
So, the correct answer is option B
Changing the given expression to radical form, we can write:
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:
The cube root and cube cancel out each other, leaving the answer equal to 6.
So, the correct answer is option B