Question

Calcule: (-4)⁻² ÷ √16/25+√27/8

Answer 1

$(-4)^{-2} : \sqrt{ \dfrac{16}{25} } + \sqrt[3]{ \dfrac{27}{8} } \to~~~~ \left( \dfrac{1}{4}\right)^2 : \dfrac{4}{5} + \sqrt[3]{ \dfrac{3^3}{2^3} } \to\\\\\\ \dfrac{1}{16} : \dfrac{4}{5} + \dfrac{3}{2} \to~~~~ \dfrac{1}{16} * \dfrac{5}{4} + \dfrac{3}{2} \to~~~~\dfrac{5}{64} + \dfrac{3}{2} \to~~~~mmc=64\\\\\\ \dfrac{5+96}{64} \to~~~~ \large\boxed{\dfrac{101}{64}}$