Resolver 13!/4!(13-4)!211^4(1-211)^(13-4)

$$\frac { 13 ! } { 4 ! ( 13 - 4 ) ! } 211 ^ { 4 } ( 1 - 211 ) ^ { ( 13 - 4 ) }$$

Calcular

$$-1125665914177508762073015000000000$$

Pasos da solución

O factor de 13 é 6227020800.

$$\frac{6227020800}{4!\left(13-4\right)!}\times 211^{4}\left(1-211\right)^{13-4}$$

O factor de 4 é 24.

$$\frac{6227020800}{24\left(13-4\right)!}\times 211^{4}\left(1-211\right)^{13-4}$$

Resta 4 de 13 para obter 9.

$$\frac{6227020800}{24\times 9!}\times 211^{4}\left(1-211\right)^{13-4}$$

O factor de 9 é 362880.

$$\frac{6227020800}{24\times 362880}\times 211^{4}\left(1-211\right)^{13-4}$$

Multiplica 24 e 362880 para obter 8709120.

$$\frac{6227020800}{8709120}\times 211^{4}\left(1-211\right)^{13-4}$$

Divide 6227020800 entre 8709120 para obter 715.

$$715\times 211^{4}\left(1-211\right)^{13-4}$$

Calcula 211 á potencia de 4 e obtén 1982119441.

$$715\times 1982119441\left(1-211\right)^{13-4}$$

Multiplica 715 e 1982119441 para obter 1417215400315.

$$1417215400315\left(1-211\right)^{13-4}$$

Resta 211 de 1 para obter -210.

$$1417215400315\left(-210\right)^{13-4}$$

Resta 4 de 13 para obter 9.

$$1417215400315\left(-210\right)^{9}$$

Calcula -210 á potencia de 9 e obtén -794280046581000000000.

$$1417215400315\left(-794280046581000000000\right)$$

Multiplica 1417215400315 e -794280046581000000000 para obter -1125665914177508762073015000000000.

$$-1125665914177508762073015000000000$$

Factorizar

$$-1125665914177508762073015000000000$$