簡約 (((0.90.0810^{-3}))/((2*7.035)))^2

解

簡約

(\frac{( 0.9 \cdot 0.08 \cdot 1 0 ^{- 3} )}{( 2 \cdot 7.035 )})^{2}

\frac{9}{343689062500}

十進法表記

2.61865 E - 11

解答ステップ

(\frac{0.9 \cdot 0.08 \cdot 1 0 ^{- 3}}{2 \cdot 7.035})^{2}

指数の規則を適用する:

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

= \frac{( 0.9 \cdot 0.08 \cdot 1 0 ^{- 3} ) ^{2}}{( 2 \cdot 7.035 ) ^{2}}

(0.9 \cdot 0.08 \cdot 1 0^{- 3})^{2} = \frac{0.005184}{1000000}

= \frac{\frac{0.005184}{1000000}}{( 2 \cdot 7.035 ) ^{2}}

(2 \cdot 7.035)^{2} = 197.9649

= \frac{\frac{0.005184}{1000000}}{197.9649}

\frac{\frac{0.005184}{1000000}}{197.9649} = \frac{0.005184}{197964900}

= \frac{0.005184}{197964900}

\frac{0.005184}{197964900} = \frac{5184}{1.97965 E 14}

= \frac{5184}{1.97965 E 14}

数を因数に分解する:

5184 = 576 \cdot 9

= \frac{576 \cdot 9}{1.97965 E 14}

数を因数に分解する:

1.97965 E 14 = 576 \cdot 343689062500

= \frac{576 \cdot 9}{576 \cdot 343689062500}

共通因数を約分する:

576

= \frac{9}{343689062500}