vereinfachen (36x^{16})^{1/2}

Lösung

vereinfachen

(36 x^{16})^{\frac{1}{2}}

6 x^{8}

Schritte zur Lösung

(36 x^{16})^{\frac{1}{2}}

Wende Exponentenregel an:

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

(36 x^{16})^{\frac{1}{2}} = 3 6^{\frac{1}{2}} (x^{16})^{\frac{1}{2}}

= 3 6^{\frac{1}{2}} (x^{16})^{\frac{1}{2}}

3 6^{\frac{1}{2}} = 6

= 6 (x^{16})^{\frac{1}{2}}

Wende Exponentenregel an:

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

angenommen

a \geq 0

(x^{16})^{\frac{1}{2}} = x^{16 \cdot \frac{1}{2}}

= 6 x^{16 \cdot \frac{1}{2}}

16 \cdot \frac{1}{2} = 8

= 6 x^{8}

f a c t or sin^{8} (x) - cos^{8} (x)

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

f (x) = 5 x^{5} - 3

f a c t or x^{2} y^{2} + 1 - x^{2} - y^{2}

s im pl i f y \frac{\frac{x ^{3}}{y ^{2}}}{\frac{x ^{6}}{y ^{5}}}