Respostas

2014-02-02T10:55:12-02:00
\left[ \left(\dfrac{4}{25}\right)^{\dfrac{3}{14}} \right]^7=\left(\dfrac{4}{25} \right)^{\dfrac{21}{14}}=\\\\
=\left(\dfrac{4}{25} \right)^{\dfrac{3}{2}}=\sqrt{\left( \dfrac{4}{25}}\right)^3}=\\\\
=\sqrt{\dfrac{4}{25}}\cdot \sqrt{\left(\dfrac{4}{25}\right)^2}

Como \sqrt{\left( \dfrac{4}{25}\right)^2} =\left| \dfrac{4}{25}\right|=\dfrac{4}{25}

\sqrt{\dfrac{4}{25}}\cdot \sqrt{\left(\dfrac{4}{25}^ \right)^2}=\dfrac{2}{5}\cdot \dfrac{4}{25}=\dfrac{8}{125}

P.S.:Em matemática,eu não durmo =P