化简 110(75/110)^{35/30}+75

解答

化简

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

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

十进制

145.36219 \dots

求解步骤

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

9 c (c - 11) + 10 (5 c - 3) = 3 c (c + 5) + c (6 c - 3) - 30

- 3 z^{2} - 4 z + 1 = 0

\frac{8}{3} s = - 9 + 7

lo g_{6} (1296) = x

s im pl i f y \frac{3 5}{6}