vereinfachen (2^2x^2)^2

Lösung

vereinfachen

(2^{2} x^{2})^{2}

16 x^{4}

Schritte zur Lösung

(2^{2} x^{2})^{2}

Wende Exponentenregel an:

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

(2^{2} x^{2})^{2} = (2^{2})^{2} (x^{2})^{2}

= (2^{2})^{2} (x^{2})^{2}

(2^{2})^{2} = 16

= 16 (x^{2})^{2}

Wende Exponentenregel an:

(a^{b})^{c} = a^{b c},

angenommen

a \geq 0

(x^{2})^{2} = x^{2 \cdot 2}

= 16 x^{2 \cdot 2}

Multipliziere die Zahlen:

2 \cdot 2 = 4

= 16 x^{4}

s im pl i f y \frac{( x ^{2} - 1 )}{( 3 x + 1 - 2 )}

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