How do you simplify $\frac{1}{\sqrt[3]{x^{2}}}$ $1/root3(x^2)$ ?

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Answer 1 · 2018-06-15T09:48:27

$\Rightarrow x^{- \frac{2}{3}}$ $color(orange)(=> x^(-2/3)$

$(\frac{1}{\sqrt[3]{x^{2}}})$ $(1/root 3 (x^2))$

$\Rightarrow \frac{1}{{(x \cdot 2)}^{\frac{1}{3}}}$ $=> 1 / (x*2)^(1/3)$

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

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

How do you simplify 1/root3(x^2)13√x21/root3(x^2)?