簡約 (3.14((70)10^{(-6)})^2)1010^{(-9)}

解

簡約

(3.14 \cdot ((70) \cdot 1 0^{(- 6)})^{2}) \cdot 10 \cdot 1 0^{(- 9)}

\frac{7693}{5.0 E 19}

十進法表記

1.5386 E - 16

解答ステップ

(3.14 ((70) \cdot 1 0^{- 6})^{2}) \cdot 10 \cdot 1 0^{- 9}

10 \cdot 1 0^{- 9} = \frac{1}{1 0 ^{8}}

= 3.14 (70 \cdot 1 0^{- 6})^{2} \frac{1}{1 0 ^{8}}

(70 \cdot 1 0^{- 6})^{2} = \frac{49}{10000000000}

= 3.14 \cdot \frac{49}{10000000000} \cdot \frac{1}{1 0 ^{8}}

3.14 \cdot \frac{49}{10000000000} \cdot \frac{1}{1 0 ^{8}} = \frac{153.86}{1 0 ^{8} \cdot 10000000000}

= \frac{153.86}{1 0 ^{8} \cdot 10000000000}

\frac{153.86}{1 0 ^{8} \cdot 10000000000} = \frac{15386}{1000000000000 \cdot 1 0 ^{8}}

= \frac{15386}{1000000000000 \cdot 1 0 ^{8}}

数を因数に分解する:

15386 = 2 \cdot 7693

= \frac{2 \cdot 7693}{1000000000000 \cdot 1 0 ^{8}}

数を因数に分解する:

1000000000000 = 2 \cdot 500000000000

= \frac{2 \cdot 7693}{2 \cdot 500000000000 \cdot 1 0 ^{8}}

共通因数を約分する:

2

= \frac{7693}{500000000000 \cdot 1 0 ^{8}}

500000000000 \cdot 1 0^{8} = 5.0 E 19

= \frac{7693}{5.0 E 19}