vereinfachen 1000(1+(0.12)/(12))^{60}

Lösung

vereinfachen

1000 (1 + \frac{0.12}{12})^{60}

\frac{10 1 ^{60}}{1 0 ^{117}}

Dezimale

1816.69669 \dots

Schritte zur Lösung

1000 (1 + \frac{0.12}{12})^{60}

Vereinfache

1 + \frac{0.12}{12} : \frac{101}{100}

= 1000 (\frac{101}{100})^{60}

Wende Exponentenregel an:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{101}{100})^{60} = \frac{10 1 ^{60}}{10 0 ^{60}}

= 1000 \cdot \frac{10 1 ^{60}}{10 0 ^{60}}

1000 \cdot \frac{10 1 ^{60}}{10 0 ^{60}} = \frac{10 1 ^{60}}{1 0 ^{117}}

= \frac{10 1 ^{60}}{1 0 ^{117}}

s im pl i f y (\frac{x ^{- 2} y ^{3}}{x ^{2} y})^{- \frac{1}{2}} (\frac{x ^{3} y}{y ^{\frac{1}{2}}})^{2}

2 x^{2} + 10 x + 11 = 0

\frac{4}{5} x = - 2

s im pl i f y 2 a^{0}

81 - 2 [5 (3 + 4)]