Question

How do you simplify `(11 ^(4/3))/(11 ^(1/3))`?

Answer 1

`11^(4/3)/11^(1/3) = 11`

Explanation:

If `a > 0` then `a^b/a^c = a^(b-c)` for any Real numbers `b, c`.

So in our example:

`11^(4/3)/11^(1/3) = 11^(4/3-1/3) = 11^1 = 11`