vereinfachen ((2a^3b^4)^3)/((2ab^2)^5)

Lösung

vereinfachen

\frac{( 2 a ^{3} b ^{4} ) ^{3}}{( 2 a b ^{2} ) ^{5}}

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

Schritte zur Lösung

\frac{( 2 a ^{3} b ^{4} ) ^{3}}{( 2 a b ^{2} ) ^{5}}

Vereinfache

(2 a^{3} b^{4})^{3} : 2^{3} a^{9} b^{12}

= \frac{2 ^{3} a ^{9} b ^{12}}{( 2 a b ^{2} ) ^{5}}

Vereinfache

(2 a b^{2})^{5} : 2^{5} a^{5} b^{10}

= \frac{2 ^{3} a ^{9} b ^{12}}{2 ^{5} a ^{5} b ^{10}}

\frac{2 ^{3}}{2 ^{5}} = \frac{1}{2 ^{2}}

= \frac{a ^{9} b ^{12}}{2 ^{2} a ^{5} b ^{10}}

Vereinfache

\frac{a ^{9}}{a ^{5}} : a^{4}

= \frac{a ^{4} b ^{12}}{2 ^{2} b ^{10}}

Vereinfache

\frac{b ^{12}}{b ^{10}} : b^{2}

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

2^{2} = 4

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

- 8 (8 b - 7) = - 1 - 7 b

\frac{1}{2} x^{2} - 12 = 21

f a c t or a x + b y + a y + b x

f a c t or 4 y^{2} - 25 x^{2}

2 x (3 x + 1) = 7