化简 (2^{-0.01}-1)/(-0.01)

解答

化简

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

0.69075 \dots

求解步骤

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

使用分式法则:

\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}

数字相减:

1 - 0.99309 \dots = 0.00690 \dots

= \frac{0.00690 \dots}{0.01}

数字相除:

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

= 0.69075 \dots

12 x^{2} + 20 x + 3 = 0

s im pl i f y \frac{5}{6} \cdot 3

s im pl i f y \frac{36 x ^{- 2} y ^{2}}{15 z ^{- 3}}

- 2 = lo g_{7} (\frac{1}{49})

s im pl i f y 1500 - 250 \cdot \frac{1 - 1.0 6 ^{- 7}}{0.06}