erweitern ((2x)/(y^2))^5

Lösung

erweitern

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

\frac{32 x ^{5}}{y ^{10}}

Schritte zur Lösung

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

Wende Exponentenregel an:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

(y^{2})^{5} : y^{10}

= \frac{( 2 x ) ^{5}}{y ^{10}}

Wende Exponentenregel an:

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

(2 x)^{5} = 2^{5} x^{5}

= \frac{2 ^{5} x ^{5}}{y ^{10}}

2^{5} = 32

= \frac{32 x ^{5}}{y ^{10}}

e x p an d \frac{( 1 - cos ( z ) )}{( z ^{3} ( z - 3 ) )}

e x p an d (- 15)^{3} (4)^{3} + [(- 5)^{2}]^{2}

e x p an d \frac{( a - b ) ^{2} + ( c - d ) ^{2} + ( e - f ) ^{2}}{2}

e x p an d \frac{( 2 + 4 i ) ^{4}}{( 6 + 5 i ) ^{4}}

e x p an d \frac{( 2 s - 105 ) ( 4 s - 10945 )}{8}