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Beliebt Algebra >

vereinfachen 1-(1+(0.075)/(12))^{-120}

Lösung

vereinfachen

1 - (1 + \frac{0.075}{12})^{- 120}

Lösung

1 - \frac{16 0 ^{120}}{16 1 ^{120}}

+1

Dezimale

0.52652 \dots

Schritte zur Lösung

1 - (1 + \frac{0.075}{12})^{- 120}

Wende Exponentenregel an:

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

(1 + \frac{0.075}{12})^{- 120} = \frac{1}{( 1 + \frac{0.075}{12} ) ^{120}}

= 1 - \frac{1}{( 1 + \frac{0.075}{12} ) ^{120}}

(1 + \frac{0.075}{12})^{120} = \frac{16 1 ^{120}}{16 0 ^{120}}

= 1 - \frac{1}{\frac{16 1 ^{120}}{16 0 ^{120}}}

Wende Bruchregel an:

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

= 1 - \frac{16 0 ^{120}}{16 1 ^{120}}

Beliebte Beispiele

∣ 10 x ∣ > - 2

5 z^{2} - 17 z + 10 = 0

5 x^{2} + 3 = 83

8 a^{2} - 4 = - 5

faktorisieren 27x^3-1

f a c t or 27 x^{3} - 1