Question

simplify (x^1/2)^1/6

Answer 1

X^1/12

Answer 2

\[(x ^{a})^{b} = x ^{a \times b}\]

Answer 3

imagine that you'd have this :
\[(x^2)^3\]
What that means is actually this, right?
\[x^2 * x^2 * x^2 = x*x*x*x*x*x = x^6\]
and so you find that x^6 = (x^2)^3 which proves the rule