Answer:
214
Step-by-step explanation:
[tex]\frac{4}{216^{\frac{-2}{3} } } +\frac{1}{256^{\frac{-3}{4} } } +\frac{2}{243^{\frac{-1}{5} } } =\\\\= \frac{4}{(6^{3}) ^{\frac{-2}{3} } } +\frac{1}{(2^{8}) ^{\frac{-3}{4} } } +\frac{2}{(3^{5} )^{\frac{-1}{5} } } \\\\= \frac{4}{216^{\frac{-2}{3} } } +\frac{1}{256^{\frac{-3}{4} } } +\frac{2}{243^{\frac{-1}{5} } } =\\\\= \frac{4}{6^{-2} } +\frac{1}{2^{-6} } +\frac{2}{3^{-1}} \\\\= 4(6^{2} ) + 2^{6} +2(3)\\\\= 4(36)+64+2(3)\\=214[/tex]
