Question

o inverso de 3 elevado a fração de 1 sobre 2 é?

Answer 1

Olá!

$\Big(\frac{1}{3} \Big)^{ \frac{1}{2} }$

$\textbf{Propriedade:}$

$a^{\frac{1}{2} } = \sqrt{a}$
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$\Big(\frac{1}{3} \Big)^{ \frac{1}{2} } \\ \\ = \sqrt{ \frac{1}{3} } \\ \\ = \frac{\sqrt{1} }{ \sqrt{3} } \\ \\ = \frac{1}{\sqrt{3} } \cdot \frac{ \sqrt{3}}{\sqrt{3} } \\ \\ = \frac{\sqrt{3} }{ \sqrt{9} }$

$= \boxed{\boxed{\frac{\sqrt{3} }{3}} }} \end{array}\qquad\checkmark$

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