27 l o g 9 16 {\displaystyle 27^{log_{9}{16}}}
27 l o g 9 16 3 3 ( l o g 3 2 16 ) 3 3 2 ( l o g 3 16 16 3 2 = 16 3 = 16 2 ∗ 16 = 16 ∗ 4 = 64 {\displaystyle {\begin{aligned}27^{log_{9}{16}}\\3^{3({log_{3^{2}}{16}})}\\3^{{\frac {3}{2}}(log_{3}{16}}\\16^{\frac {3}{2}}={\sqrt[{3}]{16}}={\sqrt {16}}^{2}*{\sqrt {16}}=16*4=64\\\end{aligned}}}
![{\displaystyle {\begin{aligned}27^{log_{9}{16}}\\3^{3({log_{3^{2}}{16}})}\\3^{{\frac {3}{2}}(log_{3}{16}}\\16^{\frac {3}{2}}={\sqrt[{3}]{16}}={\sqrt {16}}^{2}*{\sqrt {16}}=16*4=64\\\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a1045eb2d4a233e3f90b4eabac8705e6878f3ee0)