簡約 (0.5)(0.5)((1.645)/(0.06))^2

解

簡約

(0.5) (0.5) (\frac{1.645}{0.06})^{2}

\frac{108241}{576}

十進法表記

187.91840 \dots

解答ステップ

(0.5) (0.5) (\frac{1.645}{0.06})^{2}

規則を適用する:

(a) = a

(0.5) = 0.5

= 0.5 \cdot 0.5 (\frac{1.645}{0.06})^{2}

数を乗じる:

0.5 \cdot 0.5 = 0.25

= 0.25 (\frac{1.645}{0.06})^{2}

指数の規則を適用する:

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

(\frac{1.645}{0.06})^{2} = \frac{1.64 5 ^{2}}{0.0 6 ^{2}}

= 0.25 \cdot \frac{1.64 5 ^{2}}{0.0 6 ^{2}}

1.64 5^{2} = 2.706025

= 0.25 \cdot \frac{2.706025}{0.0 6 ^{2}}

0.0 6^{2} = 0.0036

= 0.25 \cdot \frac{2.706025}{0.0036}

\frac{2.706025}{0.0036} = \frac{2706025}{3600}

= 0.25 \cdot \frac{2706025}{3600}

数を因数に分解する:

2706025 = 25 \cdot 108241

= 0.25 \cdot \frac{25 \cdot 108241}{3600}

数を因数に分解する:

3600 = 25 \cdot 144

= 0.25 \cdot \frac{25 \cdot 108241}{25 \cdot 144}

共通因数を約分する:

25

= 0.25 \cdot \frac{108241}{144}

0.25 = \frac{1}{4}

= \frac{1}{4} \cdot \frac{108241}{144}

\frac{1}{4} \cdot \frac{108241}{144} = \frac{108241}{576}

= \frac{108241}{576}