vereinfachen ((0.03)/1)^{1/2}0.5109

Lösung

vereinfachen

(\frac{0.03}{1})^{\frac{1}{2}} \cdot 0.5 \cdot 109

\frac{54.5 \cdot 3 ^{\frac{1}{2}}}{10}

Dezimale

9.43967 \dots

Schritte zur Lösung

(\frac{0.03}{1})^{\frac{1}{2}} \cdot 0.5 \cdot 109

Multipliziere die Zahlen:

0.5 \cdot 109 = 54.5

= (\frac{0.03}{1})^{\frac{1}{2}} \cdot 54.5

= 54.5 (\frac{0.03}{1})^{\frac{1}{2}}

Wende Exponentenregel an:

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

(\frac{0.03}{1})^{\frac{1}{2}} = \frac{0.0 3 ^{\frac{1}{2}}}{1 ^{\frac{1}{2}}}

= 54.5 \cdot \frac{0.0 3 ^{\frac{1}{2}}}{1 ^{\frac{1}{2}}}

0.0 3^{\frac{1}{2}} = \frac{3 ^{\frac{1}{2}}}{10}

= 54.5 \cdot \frac{\frac{3 ^{\frac{1}{2}}}{10}}{1 ^{\frac{1}{2}}}

\frac{\frac{3 ^{\frac{1}{2}}}{10}}{1 ^{\frac{1}{2}}} = \frac{3 ^{\frac{1}{2}}}{10}

= 54.5 \cdot \frac{3 ^{\frac{1}{2}}}{10}

54.5 \cdot \frac{3 ^{\frac{1}{2}}}{10} = \frac{54.5 \cdot 3 ^{\frac{1}{2}}}{10}

= \frac{54.5 \cdot 3 ^{\frac{1}{2}}}{10}

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