vereinfachen 150000(1+((0.06)/2))^{-(2(16))}

Lösung

vereinfachen

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

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

Dezimale

58250.55512 \dots

Schritte zur Lösung

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}

Wende Exponentenregel an:

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}}}

Wende Bruchregel an:

\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}}

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