Question

Please give explanation w answer, thanks :)

Answer 1

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)^{ (1)/(3) } \\ \\ = \sqrt[3]{216}`

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) }`

The cube root and cube cancel out each other, leaving the answer equal to 6.

So, the correct answer is option B