32^2/3 =3^-4 = log32 43 - 2log2 1 =
㏒₃₂(43)-2㏒₂(1)=㏒₃₂(43)-2·0=㏒₃₂(43)-0=㏒₃₂(43)=㏒₂⁵(43)=(1/5)㏒₂(43)
![32^{\frac{2}{3} } =\sqrt[3]{32^{2} } =\sqrt[3]{1024} =8\sqrt[3]{2} \\ \\ 3^{-4} =\frac{1}{3^{4} } =\frac{1}{81}](https://tex.z-dn.net/?f=32%5E%7B%5Cfrac%7B2%7D%7B3%7D%20%7D%20%3D%5Csqrt%5B3%5D%7B32%5E%7B2%7D%20%7D%20%3D%5Csqrt%5B3%5D%7B1024%7D%20%3D8%5Csqrt%5B3%5D%7B2%7D%20%5C%5C%20%5C%5C%203%5E%7B-4%7D%20%3D%5Cfrac%7B1%7D%7B3%5E%7B4%7D%20%7D%20%3D%5Cfrac%7B1%7D%7B81%7D "32^{\frac{2}{3} } =\sqrt[3]{32^{2} } =\sqrt[3]{1024} =8\sqrt[3]{2} \\ \\ 3^{-4} =\frac{1}{3^{4} } =\frac{1}{81}")