簡約-(2.17810^{-18})1^2(1/(3^2)-1/(1^2))

解

簡約

- (2.178 \cdot 1 0^{- 18}) \cdot 1^{2} (\frac{1}{3 ^{2}} - \frac{1}{1 ^{2}})

\frac{121}{5 ^{18} \cdot 16384000}

十進法表記

1.936 E - 18

解答ステップ

- (2.178 \cdot 1 0^{- 18}) \cdot 1^{2} (\frac{1}{3 ^{2}} - \frac{1}{1 ^{2}})

簡素化

2.178 \cdot 1 0^{- 18} : \frac{1089}{500 \cdot 1 0 ^{18}}

= - \frac{1089}{500 \cdot 1 0 ^{18}} \cdot 1^{2} (\frac{1}{3 ^{2}} - \frac{1}{1 ^{2}})

1^{2} = 1

= - \frac{1089}{500 \cdot 1 0 ^{18}} \cdot 1 \cdot (\frac{1}{3 ^{2}} - \frac{1}{1 ^{2}})

\frac{1}{3 ^{2}} - \frac{1}{1 ^{2}} = - \frac{8}{9}

= - \frac{1089}{500 \cdot 1 0 ^{18}} \cdot 1 \cdot (- \frac{8}{9})

規則を適用する:

- a (- b) = ab

- \frac{1089}{500 \cdot 1 0 ^{18}} \cdot 1 \cdot (- \frac{8}{9}) = \frac{1089}{500 \cdot 1 0 ^{18}} \cdot 1 \cdot \frac{8}{9}

= \frac{1089}{500 \cdot 1 0 ^{18}} \cdot 1 \cdot \frac{8}{9}

規則を適用する:

a \cdot 1 = a

= \frac{1089}{500 \cdot 1 0 ^{18}} \cdot \frac{8}{9}

= \frac{8}{9} \cdot \frac{1089}{500 \cdot 1 0 ^{18}}

\frac{8}{9} \cdot \frac{1089}{500 \cdot 1 0 ^{18}} = \frac{121}{5 ^{18} \cdot 16384000}

= \frac{121}{5 ^{18} \cdot 16384000}