vereinfachen (3/2 x^{1/2})^2

Lösung

vereinfachen

(\frac{3}{2} x^{\frac{1}{2}})^{2}

\frac{9 x}{4}

Schritte zur Lösung

(\frac{3}{2} x^{\frac{1}{2}})^{2}

Wende Exponentenregel an:

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

(\frac{3}{2} x^{\frac{1}{2}})^{2} = (\frac{3}{2})^{2} (x^{\frac{1}{2}})^{2}

= (\frac{3}{2})^{2} (x^{\frac{1}{2}})^{2}

(\frac{3}{2})^{2} = \frac{9}{4}

= \frac{9}{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{9}{4} x^{\frac{1}{2} \cdot 2}

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

= \frac{9}{4} x^{1}

Wende Exponentenregel an:

a^{1} = a

x^{1} = x

= \frac{9}{4} x

Multipliziere Brüche:

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

= \frac{9 x}{4}

- (12 t + 5) + 3 t > 0

4 x + \frac{x + 3}{6} = 13

s im pl i f y \frac{- 7 - i}{- 8 + i}

s im pl i f y \frac{3}{4} \cdot \frac{1}{4}

2 x - 15 \leq 5