簡約 25000(1+((0.085)/4))^{-(4(1))}

解

簡約

25000 (1 + (\frac{0.085}{4}))^{- (4 (1))}

\frac{25000 \cdot 80 0 ^{4}}{81 7 ^{4}}

十進法表記

22983.26531 \dots

解答ステップ

25000 (1 + (\frac{0.085}{4}))^{- (4 (1))}

(1 + (\frac{0.085}{4}))^{- (4 (1))} = (1 + \frac{0.085}{4})^{- 4 \cdot 1}

= 25000 (1 + \frac{0.085}{4})^{- 4 \cdot 1}

指数の規則を適用する:

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

(1 + \frac{0.085}{4})^{- 4 \cdot 1} = \frac{1}{( 1 + \frac{0.085}{4} ) ^{4 \cdot 1}}

= 25000 \cdot \frac{1}{( 1 + \frac{0.085}{4} ) ^{4 \cdot 1}}

(1 + \frac{0.085}{4})^{4 \cdot 1} = \frac{81 7 ^{4}}{80 0 ^{4}}

= 25000 \cdot \frac{1}{\frac{81 7 ^{4}}{80 0 ^{4}}}

分数の規則を適用する:

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

= 25000 \cdot \frac{80 0 ^{4}}{81 7 ^{4}}

25000 \cdot \frac{80 0 ^{4}}{81 7 ^{4}} = \frac{25000 \cdot 80 0 ^{4}}{81 7 ^{4}}

= \frac{25000 \cdot 80 0 ^{4}}{81 7 ^{4}}