簡約 1/22.410^{-28}(0.83*10^8)^2

解

簡約

\frac{1}{2} \cdot 2.4 \cdot 1 0^{- 28} \cdot (0.8 \cdot 3 \cdot 1 0^{8})^{2}

1 0^{16} \cdot \frac{27}{5 ^{28} \cdot 1048576000}

十進法表記

0

解答ステップ

\frac{1}{2} \cdot 2.4 \cdot 1 0^{- 28} (0.8 \cdot 3 \cdot 1 0^{8})^{2}

2.4 = \frac{12}{5}

= \frac{1}{2} \cdot \frac{12}{5} \cdot 1 0^{- 28} (0.8 \cdot 3 \cdot 1 0^{8})^{2}

指数の規則を適用する:

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

1 0^{- 28} = \frac{1}{1 0 ^{28}}

= \frac{1}{2} \cdot \frac{12}{5} \cdot \frac{1}{1 0 ^{28}} (0.8 \cdot 3 \cdot 1 0^{8})^{2}

(0.8 \cdot 3 \cdot 1 0^{8})^{2} = 1 0^{16} \cdot 5.76

= \frac{1}{2} \cdot \frac{12}{5} \cdot \frac{1}{1 0 ^{28}} \cdot 1 0^{16} \cdot 5.76

5.76 = \frac{144}{25}

= \frac{1}{2} \cdot \frac{12}{5} \cdot \frac{1}{1 0 ^{28}} \cdot 1 0^{16} \cdot \frac{144}{25}

\frac{1}{2} \cdot \frac{12}{5} \cdot \frac{1}{1 0 ^{28}} \cdot 1 0^{16} \cdot \frac{144}{25} = \frac{27}{5 ^{28} \cdot 1048576000} \cdot 1 0^{16}

= \frac{27}{5 ^{28} \cdot 1048576000} \cdot 1 0^{16}

= 1 0^{16} \cdot \frac{27}{5 ^{28} \cdot 1048576000}