簡約 ((1.96)/(0.13))^20.50.5

解

簡約

(\frac{1.96}{0.13})^{2} \cdot 0.5 \cdot 0.5

\frac{9604}{169}

十進法表記

56.82840 \dots

解答ステップ

(\frac{1.96}{0.13})^{2} \cdot 0.5 \cdot 0.5

数を乗じる:

0.5 \cdot 0.5 = 0.25

= (\frac{1.96}{0.13})^{2} \cdot 0.25

= 0.25 (\frac{1.96}{0.13})^{2}

指数の規則を適用する:

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

(\frac{1.96}{0.13})^{2} = \frac{1.9 6 ^{2}}{0.1 3 ^{2}}

= 0.25 \cdot \frac{1.9 6 ^{2}}{0.1 3 ^{2}}

1.9 6^{2} = 3.8416

= 0.25 \cdot \frac{3.8416}{0.1 3 ^{2}}

0.1 3^{2} = 0.0169

= 0.25 \cdot \frac{3.8416}{0.0169}

\frac{3.8416}{0.0169} = \frac{38416}{169}

= 0.25 \cdot \frac{38416}{169}

0.25 = \frac{1}{4}

= \frac{1}{4} \cdot \frac{38416}{169}

\frac{1}{4} \cdot \frac{38416}{169} = \frac{9604}{169}

= \frac{9604}{169}