vereinfachen ((xy)^{1/2})/x

Lösung

vereinfachen

\frac{( x y ) ^{\frac{1}{2}}}{x}

\frac{y ^{\frac{1}{2}}}{x ^{\frac{1}{2}}}

Schritte zur Lösung

\frac{( x y ) ^{\frac{1}{2}}}{x}

Wende Exponentenregel an:

(a \cdot b)^{n} = a^{n} b^{n}

(x y)^{\frac{1}{2}} = x^{\frac{1}{2}} y^{\frac{1}{2}}

= \frac{x ^{\frac{1}{2}} y ^{\frac{1}{2}}}{x}

Vereinfache

\frac{x ^{\frac{1}{2}}}{x} : \frac{1}{x ^{\frac{1}{2}}}

= \frac{y ^{\frac{1}{2}}}{x ^{\frac{1}{2}}}

\frac{4}{5} x - 8 = 2

10 x^{2} - 19 x + 6 = 0

x > 3 and x < 2

x (x + 1) = 420

∣ 2 - 3 x ∣ = 5