Question

Simplificando 16^-0,25 (16 elevado a -0,25) obtém se?

Answer 1

${16}^{ - 0.25} = \frac{1}{ {16}^{ 0.25} } = \frac{1}{ {16{} }^{ \frac{1}{4} } } = \frac{1}{ \sqrt[4]{16} } = \frac{1}{2}$

Answer 2

Olá!

$16^{-0,25} \\ = 16^{ - \frac{25}{100} } \\ \\ = 16^{- \frac{1}{4} } \\ \\ = \Big(\frac{1}{16} \Big)^{ \frac{1}{4} } \\ \\ = \Big( \frac{1^4}{2^4} \Big)^{ \frac{1}{4} } \\ \\ = \Big( \frac{1}{2} \Big)^{ \frac{4}{4} } \\ \\ = \Big( \frac{1}{2} \Big)^{1} \\ \\ = \frac{1}{2}$

Bons estudos!