Question

Escreva na forma de potencia de 2: OBS:QUESTÕES NA IMAGEM.

Answer 1

$8^{ \frac{1}{2} } = 2^{3. \frac{1}{2} } = 2^{ \frac{3}{2} }$$2^{ \frac{1}{5} } . 2^{ \frac{1}{2} } = 2^{ \frac{1}{5} + \frac{1}{2} } = 2^{ \frac{2+5}{10} } = 2^{ \frac{7}{10} } \\ \\ 2^{ \frac{3}{4} } : 2^{ \frac{3}{2} } = 2^{ \frac{3}{4} - \frac{3}{2} } = 2^{ \frac{3-6}{4} } = 2^{ \frac{-3}{4} } = (\frac{1}{2} )^{ \frac{4}{3} } \\ \\ 2^{ \frac{3}{4} } . 2^{ \frac{-1}{6} } = 2^{ \frac{3}{4} + \frac{(-1)}{6} } = 2^{ \frac{9-2}{12} } = 2^{ \frac{7}{12} } \\ \\ 4^{ \frac{3}{8} } = 2^{2. \frac{3}{8} } = 2^{ \frac{6}{8} } = 2^{ \frac{3}{4} }$