Tính \(K = {\left( {{1 \over {16}}} \right)^{ - 0,75}} + {\left( {{1 \over 8}} \right)^{ - {4 \over 3}}}\)

* Hướng dẫn giải

Ta có:

\(K = {\left( {\dfrac{1}{{16}}} \right)^{ - 0,75}} + {\left( {\dfrac{1}{8}} \right)^{ - \dfrac{4}{3}}} \)\(\,= \dfrac{1}{{\sqrt[4]{{{{\left( {\dfrac{1}{{16}}} \right)}^3}}}}} + \dfrac{1}{{\sqrt[3]{{{{\left( {\dfrac{1}{8}} \right)}^4}}}}} \)\(\,= 8 + 16 = 24.\)