簡約 (0.5)(0.5)((2.326)/(0.03))^2

解

簡約

(0.5) (0.5) (\frac{2.326}{0.03})^{2}

\frac{1352569}{900}

十進法表記

1502.85444 \dots

解答ステップ

(0.5) (0.5) (\frac{2.326}{0.03})^{2}

規則を適用する:

(a) = a

(0.5) = 0.5

= 0.5 \cdot 0.5 (\frac{2.326}{0.03})^{2}

数を乗じる:

0.5 \cdot 0.5 = 0.25

= 0.25 (\frac{2.326}{0.03})^{2}

指数の規則を適用する:

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

(\frac{2.326}{0.03})^{2} = \frac{2.32 6 ^{2}}{0.0 3 ^{2}}

= 0.25 \cdot \frac{2.32 6 ^{2}}{0.0 3 ^{2}}

2.32 6^{2} = 5.410276

= 0.25 \cdot \frac{5.410276}{0.0 3 ^{2}}

0.0 3^{2} = 0.0009

= 0.25 \cdot \frac{5.410276}{0.0009}

\frac{5.410276}{0.0009} = \frac{5410276}{900}

= 0.25 \cdot \frac{5410276}{900}

数を因数に分解する:

5410276 = 4 \cdot 1352569

= 0.25 \cdot \frac{4 \cdot 1352569}{900}

数を因数に分解する:

900 = 4 \cdot 225

= 0.25 \cdot \frac{4 \cdot 1352569}{4 \cdot 225}

共通因数を約分する:

4

= 0.25 \cdot \frac{1352569}{225}

0.25 = \frac{1}{4}

= \frac{1}{4} \cdot \frac{1352569}{225}

\frac{1}{4} \cdot \frac{1352569}{225} = \frac{1352569}{900}

= \frac{1352569}{900}