簡約 2.310^{-14}0.133^7*90^2

解

簡約

2.3 \cdot 1 0^{- 14} \cdot 0.13 3^{7} \cdot 9 0^{2}

\frac{1.37143 E 15}{1.0 E 17 \cdot 1 0 ^{14}}

十進法表記

1.37143 E - 16

解答ステップ

2.3 \cdot 1 0^{- 14} \cdot 0.13 3^{7} \cdot 9 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 9 0^{2}

0.13 3^{7} = 7.36142 E - 7

= 2.3 \cdot \frac{1}{1 0 ^{14}} \cdot 7.36142 E - 7 \cdot 9 0^{2}

9 0^{2} = 8100

= 2.3 \cdot \frac{1}{1 0 ^{14}} \cdot 7.36142 E - 7 \cdot 8100

数を乗じる:

2.3 \cdot 7.36142 E - 7 \cdot 8100 = 0.01371 \dots

= 0.01371 \dots \cdot \frac{1}{1 0 ^{14}}

0.01371 \dots \cdot \frac{1}{1 0 ^{14}} = \frac{0.01371 \dots}{1 0 ^{14}}

= \frac{0.01371 \dots}{1 0 ^{14}}

\frac{0.01371 \dots}{1 0 ^{14}} = \frac{1.37143 E 15}{1.0 E 17 \cdot 1 0 ^{14}}

= \frac{1.37143 E 15}{1.0 E 17 \cdot 1 0 ^{14}}