vereinfachen 8000(1+((0.48)/(12)))^{-2}

Lösung

vereinfachen

8000 (1 + (\frac{0.48}{12}))^{- 2}

\frac{1250000}{169}

Dezimale

7396.44970 \dots

Schritte zur Lösung

8000 (1 + (\frac{0.48}{12}))^{- 2}

Apply rule:

(a) = a

(\frac{0.48}{12}) = \frac{0.48}{12}

= 8000 (1 + \frac{0.48}{12})^{- 2}

Wende Exponentenregel an:

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

(1 + \frac{0.48}{12})^{- 2} = \frac{1}{( 1 + \frac{0.48}{12} ) ^{2}}

= 8000 \cdot \frac{1}{( 1 + \frac{0.48}{12} ) ^{2}}

(1 + \frac{0.48}{12})^{2} = \frac{676}{625}

= 8000 \cdot \frac{1}{\frac{676}{625}}

Wende Bruchregel an:

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

= 8000 \cdot \frac{625}{676}

8000 \cdot \frac{625}{676} = \frac{1250000}{169}

= \frac{1250000}{169}

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