vereinfachen ((a^3)/(ab^{-6)})^{1/2}

Lösung

vereinfachen

(\frac{a ^{3}}{a b ^{- 6}})^{\frac{1}{2}}

a b^{3}

Schritte zur Lösung

(\frac{a ^{3}}{a b ^{- 6}})^{\frac{1}{2}}

Wende Exponentenregel an:

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

= \frac{( a ^{3} ) ^{\frac{1}{2}}}{( a b ^{- 6} ) ^{\frac{1}{2}}}

Vereinfache

(a^{3})^{\frac{1}{2}} : a^{\frac{3}{2}}

= \frac{a ^{\frac{3}{2}}}{( a b ^{- 6} ) ^{\frac{1}{2}}}

Vereinfache

(a b^{- 6})^{\frac{1}{2}} : \frac{a ^{\frac{1}{2}}}{b ^{3}}

= \frac{a ^{\frac{3}{2}}}{\frac{a ^{\frac{1}{2}}}{b ^{3}}}

Wende Bruchregel an:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{a ^{\frac{3}{2}} b ^{3}}{a ^{\frac{1}{2}}}

Wende Exponentenregel an:

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

\frac{a ^{\frac{3}{2}}}{a ^{\frac{1}{2}}} = a^{\frac{3}{2} - \frac{1}{2}}

= b^{3} a^{\frac{3}{2} - \frac{1}{2}}

Subtrahiere die Zahlen:

\frac{3}{2} - \frac{1}{2} = 1

= a b^{3}

0.9 < 3 x + 2.4 < 6.9

x^{2} = 6 - x

4 x^{2} - 16 x + 7 = 0

f a c t or 5 x^{2} + 10 x

f a c t or 1 - a^{2}