vereinfachen (2cos^2(x))^2

Lösung

vereinfachen

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

4 cos^{4} (x)

Schritte zur Lösung

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

Wende Exponentenregel an:

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

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

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

2^{2} = 4

= 4 (cos^{2} (x))^{2}

Wende Exponentenregel an:

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

angenommen

a \geq 0

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

= 4 cos^{2 \cdot 2} (x)

Multipliziere die Zahlen:

2 \cdot 2 = 4

= 4 cos^{4} (x)

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