Question

(-27/64)^1/3 Vei, como resolve isso?

Answer 1

(-27/64)^1/3=>


=>(- 3^3/2^6)^1/3


=>³√- (3^3/2^6)

=>³√-(-1) .(3)^3/2^(6÷3)

=>3/4.³√-1

=>3/4.(-1)

=>-3/4

Answer 2

Olá!

$\Big( - \frac{27}{64} \Big)^{ \frac{1}{3} }$

$= \sqrt[3]{ - \frac{27}{64} } \\ \\ = - \sqrt[3]{ \frac{27}{64} } \\ \\ = - \frac{ \sqrt[3]{27} }{ \sqrt[3]{64} } \\ \\ = - \frac{ \sqrt[3]{ {3}^{3} } }{ \sqrt[3]{ {4}^{3} } } \\ \\ = - \frac{ \sqrt[ \cancel{3} ]{ {3}^{ \cancel{3} } } }{ \sqrt[ \cancel{3}]{ {4}^{\cancel{3}} } } \\ \\ = - \frac{3}{4}$

Bons estudos!