簡約 0.50.5((1.96)/(0.05))^2

解

簡約

0.5 \cdot 0.5 \cdot (\frac{1.96}{0.05})^{2}

\frac{9604}{25}

十進法表記

384.16

解答ステップ

0.5 \cdot 0.5 (\frac{1.96}{0.05})^{2}

数を乗じる:

0.5 \cdot 0.5 = 0.25

= 0.25 (\frac{1.96}{0.05})^{2}

指数の規則を適用する:

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

(\frac{1.96}{0.05})^{2} = \frac{1.9 6 ^{2}}{0.0 5 ^{2}}

= 0.25 \cdot \frac{1.9 6 ^{2}}{0.0 5 ^{2}}

1.9 6^{2} = 3.8416

= 0.25 \cdot \frac{3.8416}{0.0 5 ^{2}}

0.0 5^{2} = 0.0025

= 0.25 \cdot \frac{3.8416}{0.0025}

\frac{3.8416}{0.0025} = \frac{38416}{25}

= 0.25 \cdot \frac{38416}{25}

0.25 = \frac{1}{4}

= \frac{1}{4} \cdot \frac{38416}{25}

\frac{1}{4} \cdot \frac{38416}{25} = \frac{9604}{25}

= \frac{9604}{25}