vereinfachen 200(0.5)^{5/2}

Lösung

vereinfachen

200 (0.5)^{\frac{5}{2}}

2^{\frac{1}{2}} \cdot 25

Dezimale

35.35533 \dots

Schritte zur Lösung

200 \cdot 0. 5^{\frac{5}{2}}

0.5 = \frac{1}{2}

= 200 (\frac{1}{2})^{\frac{5}{2}}

Wende Exponentenregel an:

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

(\frac{1}{2})^{\frac{5}{2}} = \frac{1 ^{\frac{5}{2}}}{2 ^{\frac{5}{2}}}

= 200 \cdot \frac{1 ^{\frac{5}{2}}}{2 ^{\frac{5}{2}}}

\frac{1 ^{\frac{5}{2}}}{2 ^{\frac{5}{2}}} = \frac{1}{4 \cdot 2 ^{\frac{1}{2}}}

= 200 \cdot \frac{1}{4 \cdot 2 ^{\frac{1}{2}}}

200 \cdot \frac{1}{4 \cdot 2 ^{\frac{1}{2}}} = 2^{\frac{1}{2}} \cdot 25

= 2^{\frac{1}{2}} \cdot 25

f a c t or t (8 + t) - 3 (8 + t)

4 y = 144

f a c t or 4 a^{2} + 14 ab + 12 b^{2}

4 x^{2} - 4 x + 65 = 0

x^{2} - (7 x + 6) = x + 59