(((r^2+h^2)^{3/2}))/((r^3))

Lösung

\frac{( ( r ^{2} + h ^{2} ) ^{\frac{3}{2}} )}{( r ^{3} )}

\frac{( ( r ^{2} + h ^{2} ) ( r ^{2} + h ^{2} ) ^{\frac{1}{2}} )}{( r ^{3} )}

Schritte zur Lösung

\frac{( ( r ^{2} + h ^{2} ) ^{\frac{3}{2}} )}{( r ^{3} )}

Wende Exponentenregel an:

a^{b + c} = a^{b} \cdot a^{c}

(r^{2} + h^{2})^{\frac{3}{2}} = (r^{2} + h^{2})^{1 + \frac{1}{2}} = (r^{2} + h^{2}) (r^{2} + h^{2})^{\frac{1}{2}}

= \frac{( ( r ^{2} + h ^{2} ) ( r ^{2} + h ^{2} ) ^{\frac{1}{2}} )}{( r ^{3} )}

s im pl i f y (x + 1)^{2} (x + 1)

e x p an d (7 x^{a + 2} + y) (7 x^{a + 2} + 5 y)

s im pl i f y (1 + \frac{d ^{2}}{5} + 6 \frac{d}{5})^{- 1}

s im pl i f y 10 (x + 1) - 5 (x - 1.2) + 35

s im pl i f y x^{3} + x (x + 12) + 4 x^{2}