vereinfachen (1/4 X^4 1/2 X^6)^4

Lösung

vereinfachen

(\frac{1}{4} X^{4} \frac{1}{2} X^{6})^{4}

\frac{X ^{40}}{4096}

Schritte zur Lösung

(\frac{1}{4} X^{4} \frac{1}{2} X^{6})^{4}

Wende Exponentenregel an:

(a \cdot b)^{n} = a^{n} b^{n}

(\frac{1}{4} X^{4} \frac{1}{2} X^{6})^{4} = (\frac{1}{4})^{4} (X^{4})^{4} (\frac{1}{2})^{4} (X^{6})^{4}

= (\frac{1}{4})^{4} (X^{4})^{4} (\frac{1}{2})^{4} (X^{6})^{4}

(\frac{1}{4})^{4} = \frac{1}{256}

= \frac{1}{256} (X^{4})^{4} (\frac{1}{2})^{4} (X^{6})^{4}

Vereinfache

(X^{4})^{4} : X^{16}

= \frac{1}{256} X^{16} (\frac{1}{2})^{4} (X^{6})^{4}

(\frac{1}{2})^{4} = \frac{1}{16}

= \frac{1}{256} X^{16} \frac{1}{16} (X^{6})^{4}

Vereinfache

(X^{6})^{4} : X^{24}

= \frac{1}{256} X^{16} \frac{1}{16} X^{24}

Wende Exponentenregel an:

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

X^{16} X^{24} = X^{16 + 24}

= \frac{1}{256} \cdot \frac{1}{16} X^{16 + 24}

Addiere die Zahlen:

16 + 24 = 40

= \frac{1}{256} \cdot \frac{1}{16} X^{40}

Multipliziere Brüche:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{1 \cdot 1 \cdot X ^{40}}{256 \cdot 16}

Fasse zusammen

= \frac{X ^{40}}{4096}

- 7 x > 56

2 (x - 2) = 6

9 (x - 4) = 9 x - 33

f a c t or 64 x^{4} + x y^{3}

\frac{3}{6} = \frac{w}{4}