vereinfachen (5/12)^{3/2}

Lösung

vereinfachen

(\frac{5}{12})^{\frac{3}{2}}

\frac{5 \cdot 5 ^{\frac{1}{2}}}{24 \cdot 3 ^{\frac{1}{2}}}

Dezimale

0.26895 \dots

Schritte zur Lösung

(\frac{5}{12})^{\frac{3}{2}}

Wende Exponentenregel an:

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

= \frac{5 ^{\frac{3}{2}}}{1 2 ^{\frac{3}{2}}}

1 2^{\frac{3}{2}} = 24 \cdot 3^{\frac{1}{2}}

= \frac{5 ^{\frac{3}{2}}}{24 \cdot 3 ^{\frac{1}{2}}}

5^{\frac{3}{2}} = 5 \cdot 5^{\frac{1}{2}}

= \frac{5 \cdot 5 ^{\frac{1}{2}}}{24 \cdot 3 ^{\frac{1}{2}}}

\frac{- x + 6}{x - 9} \geq 0

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

4 (x - 2) < 18

10 x - 3 x^{2} - 8 = 0

2 x + 8 > 16