簡約 0.5× 0.5× ((1.96)/(0.04))^2

解

簡約

0.5 \cdot 0.5 \cdot (\frac{1.96}{0.04})^{2}

600.25

解答ステップ

0.5 \cdot 0.5 (\frac{1.96}{0.04})^{2}

数を乗じる:

0.5 \cdot 0.5 = 0.25

= 0.25 (\frac{1.96}{0.04})^{2}

指数の規則を適用する:

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

(\frac{1.96}{0.04})^{2} = \frac{1.9 6 ^{2}}{0.0 4 ^{2}}

= 0.25 \cdot \frac{1.9 6 ^{2}}{0.0 4 ^{2}}

1.9 6^{2} = 3.8416

= 0.25 \cdot \frac{3.8416}{0.0 4 ^{2}}

0.0 4^{2} = 0.0016

= 0.25 \cdot \frac{3.8416}{0.0016}

\frac{3.8416}{0.0016} = \frac{38416}{16}

= 0.25 \cdot \frac{38416}{16}

数を割る:

\frac{38416}{16} = 2401

= 0.25 \cdot 2401

数を乗じる:

0.25 \cdot 2401 = 600.25

= 600.25