化简-2.178*10^{-18}(1/4-1/25)

解答

化简

- 2.178 \cdot 1 0^{- 18} (\frac{1}{4} - \frac{1}{25})

- \frac{22869}{50000 \cdot 1 0 ^{18}}

十进制

0

求解步骤

- 2.178 \cdot 1 0^{- 18} (\frac{1}{4} - \frac{1}{25})

使用指数法则:

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

1 0^{- 18} = \frac{1}{1 0 ^{18}}

= - 2.178 \cdot \frac{1}{1 0 ^{18}} (\frac{1}{4} - \frac{1}{25})

\frac{1}{4} - \frac{1}{25} = \frac{21}{100}

= - 2.178 \cdot \frac{1}{1 0 ^{18}} \cdot \frac{21}{100}

- 2.178 \cdot \frac{1}{1 0 ^{18}} \cdot \frac{21}{100} = - \frac{45.738}{1 0 ^{18} \cdot 100}

= - \frac{45.738}{1 0 ^{18} \cdot 100}

\frac{45.738}{1 0 ^{18} \cdot 100} = \frac{45738}{100000 \cdot 1 0 ^{18}}

= - \frac{45738}{100000 \cdot 1 0 ^{18}}

因式分解数字:

45738 = 2 \cdot 22869

= - \frac{2 \cdot 22869}{100000 \cdot 1 0 ^{18}}

因式分解数字:

100000 = 2 \cdot 50000

= - \frac{2 \cdot 22869}{2 \cdot 50000 \cdot 1 0 ^{18}}

约分:

2

= - \frac{22869}{50000 \cdot 1 0 ^{18}}

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