vereinfachen (3x^3*y^{-3})^2

Lösung

vereinfachen

(3 x^{3} \cdot y^{- 3})^{2}

\frac{9 x ^{6}}{y ^{6}}

Schritte zur Lösung

(3 x^{3} y^{- 3})^{2}

Wende Exponentenregel an:

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

(3 x^{3} y^{- 3})^{2} = 3^{2} (x^{3})^{2} (y^{- 3})^{2}

= 3^{2} (x^{3})^{2} (y^{- 3})^{2}

3^{2} = 9

= 9 (x^{3})^{2} (y^{- 3})^{2}

Vereinfache

(x^{3})^{2} : x^{6}

= 9 x^{6} (y^{- 3})^{2}

Vereinfache

(y^{- 3})^{2} : \frac{1}{y ^{6}}

= 9 x^{6} \frac{1}{y ^{6}}

Vereinfache

9 x^{6} \frac{1}{y ^{6}} : \frac{9 x ^{6}}{y ^{6}}

= \frac{9 x ^{6}}{y ^{6}}

s im pl i f y 893.4 \cdot 8.51969 - 8218 x

f a c t or 15 x y - 6 x + 5 y - 2

s im pl i f y \frac{( a ^{2} + b ^{2} )}{( a ^{2} - b ^{2} )}

f a c t or cos^{2} (x) + sin^{2} (y) cos (x^{2}) cos (x)

f a c t or - (6 x) - 2