簡約 0.5^{1/12}

解

簡約

0. 5^{\frac{1}{12}}

\frac{1}{2 ^{\frac{1}{12}}}

十進法表記

0.94387 \dots

解答ステップ

0. 5^{\frac{1}{12}}

0.5 = \frac{1}{2}

= (\frac{1}{2})^{\frac{1}{12}}

指数の規則を適用する:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{1 ^{\frac{1}{12}}}{2 ^{\frac{1}{12}}}

規則を適用

1^{a} = 1

1^{\frac{1}{12}} = 1

= \frac{1}{2 ^{\frac{1}{12}}}