How do you write $2x^(-1/2)$ in radical form?

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Answer 1 · 2015-10-19T08:08:06

$2x^(-1/2)= color(green)(2/sqrtx$

In exponents, $color(blue)(x^(-a) = 1/x^a$

Hence $2x^(-1/2) = 2/(x^(1/2)$

We also know that $color(blue)(x^(1/n) = rootnx$

So $2/(x^(1/2)) = 2/root2x = color(green)(2/sqrtx$

How do you write 2x^(-1/2)2x^(-1/2) in radical form?