vereinfachen ((5x^3)/y)^{-2}

Lösung

vereinfachen

(\frac{5 x ^{3}}{y})^{- 2}

\frac{y ^{2}}{25 x ^{6}}

Schritte zur Lösung

(\frac{5 x ^{3}}{y})^{- 2}

Wende Exponentenregel an:

a^{- b} = \frac{1}{a ^{b}}

(\frac{5 x ^{3}}{y})^{- 2} = \frac{1}{( \frac{5 x ^{3}}{y} ) ^{2}}

= \frac{1}{( \frac{5 x ^{3}}{y} ) ^{2}}

Vereinfache

(\frac{5 x ^{3}}{y})^{2} : \frac{25 x ^{6}}{y ^{2}}

= \frac{1}{\frac{25 x ^{6}}{y ^{2}}}

Wende Bruchregel an:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{y ^{2}}{25 x ^{6}}

f a c t or 25 x^{2} - 10 x + 1 - 36 z^{2}

f a c t or 100 x^{2} - 80 x y + 16 y^{2}

s im pl i f y (6 n^{3})^{2}

f a c t or - 4 a^{2} - 23 a - 6

s im pl i f y 3 x (x^{n} + 2 - y) + y (3 x - 4 y) - 3 x^{n} + 3