Question

Simplify:
5th roof of (6th root of 10 * sqaure root of 1000)

or:
(10^1/6 * 1000^1/2)^1/5

(^ another way of writing it)

Answer 1

(10^1/6 * 1000^1/2)^1/5
= (10^(1/6) * 10^(3/2) )^1/5
= ( 10^(5/3) )^1/5
= 10^(1/3 or the cube root of 10

Answer 2

divide write each quotient in simplest form