vereinfachen ((1.9)/(1.3))^{1/4}-1

Lösung

vereinfachen

(\frac{1.9}{1.3})^{\frac{1}{4}} - 1

(\frac{19}{13})^{\frac{1}{4}} - 1

Dezimale

0.09951 \dots

Schritte zur Lösung

(\frac{1.9}{1.3})^{\frac{1}{4}} - 1

Wende Exponentenregel an:

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

(\frac{1.9}{1.3})^{\frac{1}{4}} = \frac{1. 9 ^{\frac{1}{4}}}{1. 3 ^{\frac{1}{4}}}

= \frac{1. 9 ^{\frac{1}{4}}}{1. 3 ^{\frac{1}{4}}} - 1

1.9 = \frac{19}{10}

= \frac{( \frac{19}{10} ) ^{\frac{1}{4}}}{1. 3 ^{\frac{1}{4}}} - 1

1.3 = \frac{13}{10}

= \frac{( \frac{19}{10} ) ^{\frac{1}{4}}}{( \frac{13}{10} ) ^{\frac{1}{4}}} - 1

\frac{( \frac{19}{10} ) ^{\frac{1}{4}}}{( \frac{13}{10} ) ^{\frac{1}{4}}} = (\frac{19}{13})^{\frac{1}{4}}

= (\frac{19}{13})^{\frac{1}{4}} - 1

x^{2} + 10 x - 414 = 0

4 x + 8 = 2 (x + 1)

s im pl i f y (- \frac{1}{6})^{- 3}

s im pl i f y \frac{2 - i}{2 + i}

f a c t or x^{2} + 19 x + 90 x