Question

O valor da expressão

Answer 1

K = (16)^1/4 + 2^2 - (3^3.(1/3)^-1)^1/2

K = (2^4)^1/4 + 4 - (3^3. 3)^1/2

K =  2 + 4 - ( 3^4)^1/2

K =  6 -  3^4/2

K = 6 - 3^2  ===>  K = 6 - 9

K = - 3 

Answer 2

  Aplicando propriedades de potencias e raizes

                 $K = (16)^{ \frac{1}{4} } +2^2- [3^3.( \frac{1}{3} )^{-1} ] ^{ \frac{1}{2} } \\ \\ K= \sqrt[4]{16} +4-[3^3. (\frac{1}{ \frac{1}{3}} )^1] ^{ \frac{1}{2} } \\ \\ K=2+4-[3^3.3] ^{ \frac{1}{2} } \\ \\ K=6- (3^4) ^{ \frac{1}{2} } \\ \\ K=6- 3^{4. \frac{1}{2} } \\ \\ K=6-3^2 \\ \\ K=6-9$

                 $K= -3$