簡約 8000(1+(0.05)/(360))^{-30}

解

簡約

8000 (1 + \frac{0.05}{360})^{- 30}

\frac{8000 \cdot 720 0 ^{30}}{720 1 ^{30}}

十進法表記

7966.73831 \dots

解答ステップ

8000 (1 + \frac{0.05}{360})^{- 30}

指数の規則を適用する:

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

(1 + \frac{0.05}{360})^{- 30} = \frac{1}{( 1 + \frac{0.05}{360} ) ^{30}}

= 8000 \cdot \frac{1}{( 1 + \frac{0.05}{360} ) ^{30}}

(1 + \frac{0.05}{360})^{30} = \frac{720 1 ^{30}}{720 0 ^{30}}

= 8000 \cdot \frac{1}{\frac{720 1 ^{30}}{720 0 ^{30}}}

分数の規則を適用する:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= 8000 \cdot \frac{720 0 ^{30}}{720 1 ^{30}}

8000 \cdot \frac{720 0 ^{30}}{720 1 ^{30}} = \frac{8000 \cdot 720 0 ^{30}}{720 1 ^{30}}

= \frac{8000 \cdot 720 0 ^{30}}{720 1 ^{30}}