簡約 (2.8710^{-10})^{12}0.141*10^{-21}

解

簡約

(2.87 \cdot 1 0^{- 10})^{12} \cdot 0.141 \cdot 1 0^{- 21}

\frac{4.40354 E 15}{100000000000 \cdot 1 0 ^{141}}

十進法表記

4.40354 E - 137

解答ステップ

(2.87 \cdot 1 0^{- 10})^{12} \cdot 0.141 \cdot 1 0^{- 21}

(2.87 \cdot 1 0^{- 10})^{12} = \frac{3.12308 E 15}{10000000000 \cdot 1 0 ^{120}}

= \frac{3.12308 E 15}{10000000000 \cdot 1 0 ^{120}} \cdot 0.141 \cdot 1 0^{- 21}

指数の規則を適用する:

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

1 0^{- 21} = \frac{1}{1 0 ^{21}}

= \frac{3.12308 E 15}{10000000000 \cdot 1 0 ^{120}} \cdot 0.141 \cdot \frac{1}{1 0 ^{21}}

\frac{3.12308 E 15}{10000000000 \cdot 1 0 ^{120}} \cdot 0.141 \cdot \frac{1}{1 0 ^{21}} = \frac{4.40354 E 14}{1 0 ^{141} \cdot 10000000000}

= \frac{4.40354 E 14}{1 0 ^{141} \cdot 10000000000}

\frac{4.40354 E 14}{1 0 ^{141} \cdot 10000000000} = \frac{4.40354 E 15}{100000000000 \cdot 1 0 ^{141}}

= \frac{4.40354 E 15}{100000000000 \cdot 1 0 ^{141}}