簡約 150000(1+((0.06)/2))^{-(2(16))}

解

簡約

150000 (1 + (\frac{0.06}{2}))^{- (2 (16))}

\frac{150000 \cdot 10 0 ^{32}}{10 3 ^{32}}

十進法表記

58250.55512 \dots

解答ステップ

150000 (1 + (\frac{0.06}{2}))^{- (2 (16))}

(1 + (\frac{0.06}{2}))^{- (2 (16))} = (1 + \frac{0.06}{2})^{- 2 \cdot 16}

= 150000 (1 + \frac{0.06}{2})^{- 2 \cdot 16}

指数の規則を適用する:

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

(1 + \frac{0.06}{2})^{- 2 \cdot 16} = \frac{1}{( 1 + \frac{0.06}{2} ) ^{2 \cdot 16}}

= 150000 \cdot \frac{1}{( 1 + \frac{0.06}{2} ) ^{2 \cdot 16}}

(1 + \frac{0.06}{2})^{2 \cdot 16} = \frac{10 3 ^{32}}{10 0 ^{32}}

= 150000 \cdot \frac{1}{\frac{10 3 ^{32}}{10 0 ^{32}}}

分数の規則を適用する:

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

= 150000 \cdot \frac{10 0 ^{32}}{10 3 ^{32}}

150000 \cdot \frac{10 0 ^{32}}{10 3 ^{32}} = \frac{150000 \cdot 10 0 ^{32}}{10 3 ^{32}}

= \frac{150000 \cdot 10 0 ^{32}}{10 3 ^{32}}