簡約-2.1798710^{-18}(1/1-1/(6^2))

解

簡約

- 2.17987 \cdot 1 0^{- 18} \cdot (\frac{1}{1} - \frac{1}{6 ^{2}})

- \frac{1525909}{720000 \cdot 1 0 ^{18}}

十進法表記

0

解答ステップ

- 2.17987 \cdot 1 0^{- 18} (\frac{1}{1} - \frac{1}{6 ^{2}})

指数の規則を適用する:

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

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

= - 2.17987 \cdot \frac{1}{1 0 ^{18}} (\frac{1}{1} - \frac{1}{6 ^{2}})

\frac{1}{1} - \frac{1}{6 ^{2}} = \frac{35}{36}

= - 2.17987 \cdot \frac{1}{1 0 ^{18}} \cdot \frac{35}{36}

2.17987 = \frac{217987}{100000}

= - \frac{217987}{100000} \cdot \frac{1}{1 0 ^{18}} \cdot \frac{35}{36}

- \frac{217987}{100000} \cdot \frac{1}{1 0 ^{18}} \cdot \frac{35}{36} = - \frac{1525909}{720000 \cdot 1 0 ^{18}}

= - \frac{1525909}{720000 \cdot 1 0 ^{18}}