簡約 1.6710^{-27}(3*10^8)^2

解

簡約

1.67 \cdot 1 0^{- 27} \cdot (3 \cdot 1 0^{8})^{2}

1 0^{16} \cdot \frac{1503}{100 \cdot 1 0 ^{27}}

十進法表記

1.503 E - 10

解答ステップ

1.67 \cdot 1 0^{- 27} (3 \cdot 1 0^{8})^{2}

指数の規則を適用する:

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

1 0^{- 27} = \frac{1}{1 0 ^{27}}

= 1.67 \cdot \frac{1}{1 0 ^{27}} (3 \cdot 1 0^{8})^{2}

(3 \cdot 1 0^{8})^{2} = 9 \cdot 1 0^{16}

= 1.67 \cdot \frac{1}{1 0 ^{27}} \cdot 9 \cdot 1 0^{16}

数を乗じる:

1.67 \cdot 9 = 15.03

= 15.03 \cdot \frac{1}{1 0 ^{27}} \cdot 1 0^{16}

= 1 0^{16} \cdot 15.03 \cdot \frac{1}{1 0 ^{27}}

1 0^{16} \cdot 15.03 \cdot \frac{1}{1 0 ^{27}} = 1 0^{16} \cdot \frac{15.03}{1 0 ^{27}}

= 1 0^{16} \cdot \frac{15.03}{1 0 ^{27}}

\frac{15.03}{1 0 ^{27}} = \frac{1503}{100 \cdot 1 0 ^{27}}

= 1 0^{16} \cdot \frac{1503}{100 \cdot 1 0 ^{27}}