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Beliebt Algebra >

vereinfachen (25/64)^{3/2}

Lösung

vereinfachen

(\frac{25}{64})^{\frac{3}{2}}

Lösung

\frac{125}{512}

+1

Dezimale

0.244140625

Schritte zur Lösung

(\frac{25}{64})^{\frac{3}{2}}

Wende Exponentenregel an:

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

= \frac{2 5 ^{\frac{3}{2}}}{6 4 ^{\frac{3}{2}}}

2 5^{\frac{3}{2}} = 125

= \frac{125}{6 4 ^{\frac{3}{2}}}

6 4^{\frac{3}{2}} = 512

= \frac{125}{512}

Beliebte Beispiele

6 x + 1 < - \frac{5 x}{3} + 5

1/6 <(2x-13)/(12)<= 2/3

\frac{1}{6} < \frac{2 x - 13}{12} \leq \frac{2}{3}

12(x)^2+12x=826

12 (x)^{2} + 12 x = 826

8 x - 6 > 12 + 2 x

15 = \frac{3}{4} (9 x + 8)