vereinfachen 243^{-5/6}*3^{-5/6}

Lösung

vereinfachen

24 3^{- \frac{5}{6}} \cdot 3^{- \frac{5}{6}}

\frac{1}{24 3 ^{\frac{5}{6}} \cdot 3 ^{\frac{5}{6}}}

Dezimale

0.00411 \dots

Schritte zur Lösung

24 3^{- \frac{5}{6}} \cdot 3^{- \frac{5}{6}}

Wende Exponentenregel an:

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

24 3^{- \frac{5}{6}} = \frac{1}{24 3 ^{\frac{5}{6}}}

= \frac{1}{24 3 ^{\frac{5}{6}}} \cdot 3^{- \frac{5}{6}}

Wende Exponentenregel an:

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

3^{- \frac{5}{6}} = \frac{1}{3 ^{\frac{5}{6}}}

= \frac{1}{24 3 ^{\frac{5}{6}}} \cdot \frac{1}{3 ^{\frac{5}{6}}}

\frac{1}{24 3 ^{\frac{5}{6}}} \cdot \frac{1}{3 ^{\frac{5}{6}}} = \frac{1}{24 3 ^{\frac{5}{6}} \cdot 3 ^{\frac{5}{6}}}

= \frac{1}{24 3 ^{\frac{5}{6}} \cdot 3 ^{\frac{5}{6}}}

- 25 - 7 x = 6 (2 x - 1)

x^{4} - 26 x^{2} + 25 \geq 0

s im pl i f y \frac{5}{2} - 3

3 x^{2} - 17 x > 28

3 + x < 3 x - 2 < 1 - 2 x