簡約 sqrt(\sqrt{1/(5.03))}

解

簡約

\frac{1}{5.03}

0.66774 \dots

解答ステップ

\frac{1}{5.03}

累乗根の規則を適用する:

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

= ((\frac{1}{5.03})^{\frac{1}{2}})^{\frac{1}{2}}

指数の規則を適用する:

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

= (\frac{1}{5.03})^{\frac{1}{2} \cdot \frac{1}{2}}

\frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4}

= (\frac{1}{5.03})^{\frac{1}{4}}

a^{\frac{1}{n}} = n a

= 4 \frac{1}{5.03}

数を割る:

\frac{1}{5.03} = 0.19880 \dots

= 4 0.19880 \dots

4 0.19880 \dots = 0.66774 \dots

= 0.66774 \dots