How do you simplify $1/root3(x^2)$ ?

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Answer 1 · 2018-06-15T09:48:27

$color(orange)(=> x^(-2/3)$

$(1/root 3 (x^2))$

$=> 1 / (x*2)^(1/3)$

$"As per theory of indices", (a^m)^n = a^(mn), 1/a^m = a^-m$

$:. => 1 / x^(2/3) = x^(-2/3)$

How do you simplify 1/root3(x^2)1/root3(x^2)?