簡約 1/2 (1.673*10^{-27})((3E+7)^2)

解

簡約

\frac{1}{2} (1.673 \cdot 1 0^{- 27}) ((3 E + 7)^{2})

\frac{1673 ( 3 E + 7 ) ^{2}}{2000 \cdot 1 0 ^{27}}

解答ステップ

\frac{1}{2} (1.673 \cdot 1 0^{- 27}) ((3 E + 7)^{2})

規則を適用する:

(a) = a

((3 E + 7)^{2}) = (3 E + 7)^{2}

= \frac{1}{2} \cdot 1.673 \cdot 1 0^{- 27} (3 E + 7)^{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}}

= \frac{1}{2} \cdot 1.673 \cdot \frac{1}{1 0 ^{27}} (3 E + 7)^{2}

1.673 = \frac{1673}{1000}

= \frac{1}{2} \cdot \frac{1673}{1000} \cdot \frac{1}{1 0 ^{27}} (3 E + 7)^{2}

分数の規則を適用する:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{1 \cdot 1673 \cdot 1 \cdot ( 3 E + 7 ) ^{2}}{2 \cdot 1000 \cdot 1 0 ^{27}}

数を乗じる:

1 \cdot 1673 \cdot 1 = 1673

= \frac{1673 ( 3 E + 7 ) ^{2}}{2 \cdot 1000 \cdot 1 0 ^{27}}

数を乗じる:

2 \cdot 1000 = 2000

= \frac{1673 ( 3 E + 7 ) ^{2}}{2000 \cdot 1 0 ^{27}}