Question

Escreva a potência na forma mais simplificada possível.
$(0,333...)^{- \frac{1}{2} }$
Calculo

Answer 1

$0,333...= \frac{3}{9} \\ ( \frac{3}{9} )^{- \frac{1}{2} } = ( \frac{9}{3} )^{\frac{1}{2} }= (3)^{\frac{1}{2} } = \sqrt{3}$

Answer 2

$0,333...= \frac{3}{9} = \frac{1}{3}\\ ( \frac{1}{3} )^{- \frac{1}{2} } = ( 3)^{\frac{1}{2} }= \sqrt{3}$