簡約 2.310^{-14}0.133^7*40^2

解

簡約

2.3 \cdot 1 0^{- 14} \cdot 0.13 3^{7} \cdot 4 0^{2}

\frac{6.7725 E 15}{5 ^{14} \cdot 4.096 E 22}

十進法表記

2.709 E - 17

解答ステップ

2.3 \cdot 1 0^{- 14} \cdot 0.13 3^{7} \cdot 4 0^{2}

指数の規則を適用する:

a^{- b} = \frac{1}{a ^{b}}

1 0^{- 14} = \frac{1}{1 0 ^{14}}

= 2.3 \cdot \frac{1}{1 0 ^{14}} \cdot 0.13 3^{7} \cdot 4 0^{2}

0.13 3^{7} = 7.36142 E - 7

= 2.3 \cdot \frac{1}{1 0 ^{14}} \cdot 7.36142 E - 7 \cdot 4 0^{2}

4 0^{2} = 1600

= 2.3 \cdot \frac{1}{1 0 ^{14}} \cdot 7.36142 E - 7 \cdot 1600

数を乗じる:

2.3 \cdot 7.36142 E - 7 \cdot 1600 = 0.00270 \dots

= 0.00270 \dots \cdot \frac{1}{1 0 ^{14}}

0.00270 \dots \cdot \frac{1}{1 0 ^{14}} = \frac{0.00270 \dots}{1 0 ^{14}}

= \frac{0.00270 \dots}{1 0 ^{14}}

\frac{0.00270 \dots}{1 0 ^{14}} = \frac{2.709 E 16}{1.0 E 19 \cdot 1 0 ^{14}}

= \frac{2.709 E 16}{1.0 E 19 \cdot 1 0 ^{14}}

因数

2.709 E 16 : 2^{2} \cdot 6.7725 E 15

= \frac{2 ^{2} \cdot 6.7725 E 15}{1.0 E 19 \cdot 1 0 ^{14}}

因数

1 0^{14} : 2^{14} \cdot 5^{14}

= \frac{2 ^{2} \cdot 6.7725 E 15}{1.0 E 19 \cdot 2 ^{14} \cdot 5 ^{14}}

\frac{2 ^{2}}{2 ^{14}} = \frac{1}{2 ^{12}}

= \frac{6.7725 E 15}{1.0 E 19 \cdot 2 ^{12} \cdot 5 ^{14}}

1.0 E 19 \cdot 2^{12} \cdot 5^{14} = 5^{14} \cdot 4.096 E 22

= \frac{6.7725 E 15}{5 ^{14} \cdot 4.096 E 22}