Question

HELP ASAP What is the simplified value of the exponential expression 216^1/3

Answer 1

Final simplified expression is 6.

Explanation:

We have been given an expression
`216^{(1)/(3)}`.

Now we need to simplify
`216^{(1)/(3)}` So let's do that by factoring 216 first so that we can have same repeating factor thrice

`216^{(1)/(3)}`

`=(6*6*6)^{(1)/(3)}`

`=(6^3)^{(1)/(3)}`

Apply formula
`(x^m)^n= x^(m*n)`

`=6^{3*(1)/(3)}`

`=6^(1)`

`=6`

Hence final simplified form is 6.