16^2/3 x 16^5/6 : 16^3/4 = ... .
mohon bantuannya
mohon bantuannya
MicoArrafi
![=> 16^{\frac{2}{3}}\times16^{\frac{5}{6}}:16^{\frac{3}{4}}\\\\=16^{\frac{2}{3}+\frac{5}{6}-\frac{3}{4}}\\\\=16^{\frac{3}{4}}\\\\=\sqrt[4]{16^3}\\\\=\sqrt[4]{4.096}\\\\=\boxed{8}](https://tex.z-dn.net/?f=%3D%3E+16%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%5Ctimes16%5E%7B%5Cfrac%7B5%7D%7B6%7D%7D%3A16%5E%7B%5Cfrac%7B3%7D%7B4%7D%7D%5C%5C%5C%5C%3D16%5E%7B%5Cfrac%7B2%7D%7B3%7D%2B%5Cfrac%7B5%7D%7B6%7D-%5Cfrac%7B3%7D%7B4%7D%7D%5C%5C%5C%5C%3D16%5E%7B%5Cfrac%7B3%7D%7B4%7D%7D%5C%5C%5C%5C%3D%5Csqrt%5B4%5D%7B16%5E3%7D%5C%5C%5C%5C%3D%5Csqrt%5B4%5D%7B4.096%7D%5C%5C%5C%5C%3D%5Cboxed%7B8%7D "=> 16^{\frac{2}{3}}\times16^{\frac{5}{6}}:16^{\frac{3}{4}}\\\\=16^{\frac{2}{3}+\frac{5}{6}-\frac{3}{4}}\\\\=16^{\frac{3}{4}}\\\\=\sqrt[4]{16^3}\\\\=\sqrt[4]{4.096}\\\\=\boxed{8}")
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