Question

Tính giá trị biểu thức :

\(A=\left(3\sqrt{3}\right)^{\frac{4}{3}}+\left(\frac{1}{16}\right)^{\frac{3}{4}}+2\left(\frac{8}{27}\right)^{\frac{2}{3}}\)

Answer 1

\(A=\left(3\sqrt{3}\right)^{\frac{4}{3}}+\left(\frac{1}{16}\right)^{\frac{3}{4}}+2\left(\frac{8}{27}\right)^{\frac{2}{3}}\)

\(A=\left(3\sqrt{3}\right)^{\frac{4}{3}}+55+\frac{32}{3}\)

\(A=\left(3\sqrt{3}\right)^{\frac{4}{3}}+\frac{197}{3}\)

\(A=243+\frac{197}{3}\)

\(A=\frac{926}{3}\)

Answer 2

Ta có \(A=3^{\frac{3}{2}.\frac{4}{3}}+\left(\frac{1}{2}\right)^{4.\frac{3}{4}}+2\left(\frac{2}{3}\right)^{3.\frac{2}{3}}=3^2+\left(\frac{1}{2}\right)^3+2\left(\frac{2}{3}\right)^2=\frac{721}{72}\)

Answer 3

Ta có:

\(A=\left(3\sqrt{3}\right)^{\frac{4}{3}}+\left(\frac{1}{6}\right)^{\frac{3}{4}}+2\left(\frac{8}{27}\right)^{\frac{2}{3}}=9+\frac{3}{32}+\frac{4}{9}=9\frac{155}{288}\)

Answer 4

từ nhầm chút

Answer 5

Làm lại:

\(A=\left(3\sqrt{3}\right)^{\frac{4}{3}}+\left(\frac{1}{16}\right)^{\frac{3}{4}}+2\left(\frac{8}{27}\right)^{\frac{2}{3}}=9+\frac{1}{8}+\frac{8}{9}=10\frac{1}{72}\)