vereinfachen (10^a)^2

Lösung

vereinfachen

(1 0^{a})^{2}

10 0^{a}

Schritte zur Lösung

(1 0^{a})^{2}

Wende Exponentenregel an:

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

= 1 0^{a \cdot 2}

Wende Exponentenregel an:

a^{b x} = (a^{b})^{x}

1 0^{2 a} = (1 0^{2})^{a}

= (1 0^{2})^{a}

1 0^{2} = 100

= 10 0^{a}

e x p an d (1 + x^{\frac{1}{2}}) (1 - x^{\frac{1}{2}})

f a c t or 16 a^{4} + 8 a^{2} b^{2} + 9 b^{4}

f a c t or x^{3} - x^{2} y + x y - y^{2}

s im pl i f y (x^{2} + y^{2} - z^{2})^{2} - 4 x^{2} y^{2}

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