Question

How do you evaluate `(6000)^(2/3)`?

Answer 1

`100root(3)(36)`

Explanation:

`(6000)^(2/3)`
#color(white)("XXX")=(6000^(1/3))^2

`color(white)("XXX")=(root(3)(6 * 10^3))^2`

`color(white)("XXX")=(10root(3)(6))^2`

`color(white)("XXX")=10^2 * root(3)(6)^2`

`color(white)("XXX")=100root(3)(36)`