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

Question

asked Jun 4, 2020 115k views

1 Answer

Mostav · Answer 1 · 2020-06-08T22:28:20+0000

Answer:

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)

Hence final simplified form is 6.