vereinfachen 14252(0.5)^{40/32}

Lösung

vereinfachen

14252 (0.5)^{\frac{40}{32}}

2^{\frac{3}{4}} \cdot 3563

Dezimale

5992.22785 \dots

Schritte zur Lösung

14252 \cdot 0. 5^{\frac{40}{32}}

0.5 = \frac{1}{2}

= 14252 (\frac{1}{2})^{\frac{40}{32}}

Streiche die gemeinsamen Faktoren:

8

= 14252 (\frac{1}{2})^{\frac{5}{4}}

Wende Exponentenregel an:

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

(\frac{1}{2})^{\frac{5}{4}} = \frac{1 ^{\frac{5}{4}}}{2 ^{\frac{5}{4}}}

= 14252 \cdot \frac{1 ^{\frac{5}{4}}}{2 ^{\frac{5}{4}}}

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

= 14252 \cdot \frac{1}{2 \cdot 2 ^{\frac{1}{4}}}

14252 \cdot \frac{1}{2 \cdot 2 ^{\frac{1}{4}}} = 2^{\frac{3}{4}} \cdot 3563

= 2^{\frac{3}{4}} \cdot 3563

f a c t or u^{2} + 5 u + 4

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