展开 62831.85(1/5088)^{1/4}

解答

展开

62831.85 (\frac{1}{5088})^{\frac{1}{4}}

7439.48840 \dots

求解步骤

62831.85 (\frac{1}{5088})^{\frac{1}{4}}

(\frac{1}{5088})^{\frac{1}{4}} = \frac{1}{2 \cdot 31 8 ^{\frac{1}{4}}}

= 62831.85 \cdot \frac{1}{2 \cdot 31 8 ^{\frac{1}{4}}}

分式相乘:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 62831.85}{2 \cdot 31 8 ^{\frac{1}{4}}}

数字相乘:

1 \cdot 62831.85 = 62831.85

= \frac{62831.85}{2 \cdot 31 8 ^{\frac{1}{4}}}

转换为小数形式

31 8^{\frac{1}{4}} = 4.22286 \dots

= \frac{62831.85}{2 \cdot 4.22286 \dots}

数字相乘:

2 \cdot 4.22286 \dots = 8.44572 \dots

= \frac{62831.85}{8.44572 \dots}

数字相除:

\frac{62831.85}{8.44572 \dots} = 7439.48840 \dots

= 7439.48840 \dots

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