How do you simplify $(10^(1/3))^(1/2)$ ?

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Answer 1 · 2015-11-04T20:24:36

The exact value of $(10^(1/3))^(1/2)$ is $10^(1/6)$ which is the sixth root of 10.

$(a^2)^2$ can be rewritten to $a^4$ .

If it's hard to imagine, think of it like this:
$(a^2)^2 = (a^2) * (a^2) = a * a * a * a$

Just add up the exponents!
EDIT: I meant multiply them.. oops
$(10^(1/3))^(1/2)$ = $10^(1/3 * 1/2)$ = $10^(1/6)$

How do you simplify (10^(1/3))^(1/2)(10^(1/3))^(1/2)?