vereinfachen 1/2*(1/4)^0

Lösung

vereinfachen

\frac{1}{2} \cdot (\frac{1}{4})^{0}

\frac{1}{2}

Dezimale

0.5

Schritte zur Lösung

\frac{1}{2} (\frac{1}{4})^{0}

Faktorisiere die Zahl:

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

= \frac{1}{2} ((\frac{1}{2})^{2})^{0}

Wende Exponentenregel an:

(a^{b})^{c} = a^{b c}, a \geq 0

((\frac{1}{2})^{2})^{0} = (\frac{1}{2})^{2 \cdot 0}

= \frac{1}{2} (\frac{1}{2})^{2 \cdot 0}

Wende Regel an

0 \cdot a = 0

= \frac{1}{2} (\frac{1}{2})^{0}

Wende Exponentenregel an:

a^{b} \cdot a^{c} = a^{b + c}

\frac{1}{2} (\frac{1}{2})^{0} = (\frac{1}{2})^{1 + 0}

= (\frac{1}{2})^{1 + 0}

Addiere die Zahlen:

1 + 0 = 1

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

Wende Exponentenregel an:

a^{1} = a

= \frac{1}{2}

x^{2} + 13 x + 42 = 0

s im pl i f y \frac{2 + 6}{2}

\frac{f}{10} - 1 > 1

s im pl i f y (\frac{x ^{2}}{3} + y^{3})^{2}

f a c t or 3 s^{4} + 16 s