簡約 7365(1+(0.08)/(12))^{-48}

解

簡約

7365 (1 + \frac{0.08}{12})^{- 48}

\frac{7365 \cdot 15 0 ^{48}}{15 1 ^{48}}

十進法表記

5353.77007 \dots

解答ステップ

7365 (1 + \frac{0.08}{12})^{- 48}

指数の規則を適用する:

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

(1 + \frac{0.08}{12})^{- 48} = \frac{1}{( 1 + \frac{0.08}{12} ) ^{48}}

= 7365 \cdot \frac{1}{( 1 + \frac{0.08}{12} ) ^{48}}

(1 + \frac{0.08}{12})^{48} = \frac{15 1 ^{48}}{15 0 ^{48}}

= 7365 \cdot \frac{1}{\frac{15 1 ^{48}}{15 0 ^{48}}}

分数の規則を適用する:

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

= 7365 \cdot \frac{15 0 ^{48}}{15 1 ^{48}}

7365 \cdot \frac{15 0 ^{48}}{15 1 ^{48}} = \frac{7365 \cdot 15 0 ^{48}}{15 1 ^{48}}

= \frac{7365 \cdot 15 0 ^{48}}{15 1 ^{48}}