簡約 (2^{-0.01}-1)/(-0.01)

解

簡約

\frac{2 ^{- 0.01} - 1}{- 0.01}

0.69075 \dots

解答ステップ

\frac{2 ^{- 0.01} - 1}{- 0.01}

分数の規則を適用する:

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

2^{- 0.01} - 1 = - (1 - 2^{- 0.01})

= \frac{1 - 2 ^{- 0.01}}{0.01}

2^{- 0.01} = 0.99309 \dots

= \frac{1 - 0.99309 \dots}{0.01}

数を引く:

1 - 0.99309 \dots = 0.00690 \dots

= \frac{0.00690 \dots}{0.01}

数を割る:

\frac{0.00690 \dots}{0.01} = 0.69075 \dots

= 0.69075 \dots