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Beliebt Algebra >

vereinfachen (9n^4)^{1/2}

Lösung

vereinfachen

(9 n^{4})^{\frac{1}{2}}

Lösung

3 n^{2}

Schritte zur Lösung

(9 n^{4})^{\frac{1}{2}}

Wende Exponentenregel an:

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

(9 n^{4})^{\frac{1}{2}} = 9^{\frac{1}{2}} (n^{4})^{\frac{1}{2}}

= 9^{\frac{1}{2}} (n^{4})^{\frac{1}{2}}

9^{\frac{1}{2}} = 3

= 3 (n^{4})^{\frac{1}{2}}

Wende Exponentenregel an:

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

angenommen

a \geq 0

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

= 3 n^{4 \cdot \frac{1}{2}}

4 \cdot \frac{1}{2} = 2

= 3 n^{2}

Beliebte Beispiele

1 2^{2} + 1 0^{2} = x^{2}

8x+(-5x-9)=3x+[-5x-(x+3)]

8 x + (- 5 x - 9) = 3 x + [- 5 x - (x + 3)]

x^{2} - x + 7 = 0

x^{2} - 4 x = 2

8 + y < 1