簡約 110(75/110)^{35/30}+75

解

簡約

110 (\frac{75}{110})^{\frac{35}{30}} + 75

\frac{75 \cdot 1 5 ^{\frac{1}{6}}}{2 2 ^{\frac{1}{6}}} + 75

十進法表記

145.36219 \dots

解答ステップ

110 (\frac{75}{110})^{\frac{35}{30}} + 75

(\frac{75}{110})^{\frac{35}{30}} = \frac{15 \cdot 1 5 ^{\frac{1}{6}}}{22 \cdot 2 2 ^{\frac{1}{6}}}

= 110 \cdot \frac{15 \cdot 1 5 ^{\frac{1}{6}}}{22 \cdot 2 2 ^{\frac{1}{6}}} + 75

110 \cdot \frac{15 \cdot 1 5 ^{\frac{1}{6}}}{22 \cdot 2 2 ^{\frac{1}{6}}} = \frac{75 \cdot 1 5 ^{\frac{1}{6}}}{2 2 ^{\frac{1}{6}}}

= \frac{75 \cdot 1 5 ^{\frac{1}{6}}}{2 2 ^{\frac{1}{6}}} + 75