vereinfachen a 2/5 b^3*a 2/5 b^3

Lösung

vereinfachen

a \frac{2}{5} b^{3} \cdot a \frac{2}{5} b^{3}

\frac{4 a ^{2} b ^{6}}{25}

Schritte zur Lösung

a \frac{2}{5} b^{3} a \frac{2}{5} b^{3}

Wende Exponentenregel an:

aa = a^{2}

aa = a^{2}

= a^{2} \frac{2}{5} b^{3} \frac{2}{5} b^{3}

Wende Exponentenregel an:

aa = a^{2}

\frac{2}{5} \cdot \frac{2}{5} = (\frac{2}{5})^{2}

= a^{2} (\frac{2}{5})^{2} b^{3} b^{3}

Vereinfache

b^{3} b^{3} : b^{6}

= a^{2} (\frac{2}{5})^{2} b^{6}

(\frac{2}{5})^{2} = \frac{2 ^{2}}{5 ^{2}}

= \frac{2 ^{2}}{5 ^{2}} a^{2} b^{6}

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 ^{2} a ^{2} b ^{6}}{5 ^{2}}

Fasse zusammen

= \frac{4 a ^{2} b ^{6}}{25}

f a c t or 144 - 9 t^{2}

28 - \frac{x}{2} = \frac{x}{5}

x^{2} - 16 = 8

s im pl i f y \frac{7 !}{2 ! ( 7 - 2 ) !}

s im pl i f y 4^{- \frac{2}{3}}