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Beliebt Algebra >

vereinfachen (9/2 x^{1/2})^2

Lösung

vereinfachen

(\frac{9}{2} x^{\frac{1}{2}})^{2}

Lösung

\frac{81 x}{4}

Schritte zur Lösung

(\frac{9}{2} x^{\frac{1}{2}})^{2}

Wende Exponentenregel an:

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

(\frac{9}{2} x^{\frac{1}{2}})^{2} = (\frac{9}{2})^{2} (x^{\frac{1}{2}})^{2}

= (\frac{9}{2})^{2} (x^{\frac{1}{2}})^{2}

(\frac{9}{2})^{2} = \frac{81}{4}

= \frac{81}{4} (x^{\frac{1}{2}})^{2}

Wende Exponentenregel an:

(a^{b})^{c} = a^{b c},

angenommen

a \geq 0

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

= \frac{81}{4} x^{\frac{1}{2} \cdot 2}

\frac{1}{2} \cdot 2 = 1

= \frac{81}{4} x^{1}

Wende Exponentenregel an:

a^{1} = a

x^{1} = x

= \frac{81}{4} x

Multipliziere Brüche:

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

= \frac{81 x}{4}

Beliebte Beispiele

x^{2} - x - 12 = 0

faktorisieren 14x^3-49x^2+21x

f a c t or 14 x^{3} - 49 x^{2} + 21 x

faktorisieren m^2-16m+64

f a c t or m^{2} - 16 m + 64

-2x^2-2/3 x+7= 1/3 x^2-x-13

- 2 x^{2} - \frac{2}{3} x + 7 = \frac{1}{3} x^{2} - x - 13

vereinfachen \sqrt[3]{2187}

s im pl i f y 32187