Issolvi frac{169^frac{3{3}}b}{134}div120b^2/205^4

$$\frac { 169 ^ { \frac { 3 } { 3 } } b } { 134 } \div \frac { 120 b ^ { 2 } } { 205 ^ { 4 } }$$

Evalwa

$$\frac{59694201125}{3216b}$$

Passi tas-Soluzzjonijiet

Iddividi 3 b'3 biex tikseb1.

$$\frac{\frac{169^{1}b}{134}}{\frac{120b^{2}}{205^{4}}}$$

Iddividi \frac{169^{1}b}{134} b'\frac{120b^{2}}{205^{4}} billi timmultiplika \frac{169^{1}b}{134} bir-reċiproku ta' \frac{120b^{2}}{205^{4}}.

$$\frac{169^{1}b\times 205^{4}}{134\times 120b^{2}}$$

Annulla b fin-numeratur u d-denominatur.

$$\frac{169^{1}\times 205^{4}}{120\times 134b}$$

Ikkalkula 169 bil-power ta' 1 u tikseb 169.

$$\frac{169\times 205^{4}}{120\times 134b}$$

Ikkalkula 205 bil-power ta' 4 u tikseb 1766100625.

$$\frac{169\times 1766100625}{120\times 134b}$$

Immultiplika 169 u 1766100625 biex tikseb 298471005625.

$$\frac{298471005625}{120\times 134b}$$

Immultiplika 120 u 134 biex tikseb 16080.

$$\frac{298471005625}{16080b}$$

Iddifferenzja w.r.t. b

$$-\frac{59694201125}{3216b^{2}}$$