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

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

Avaliar

$$-1125665914177508762073015000000000$$

Passos Para a Resolução

O fatorial de 13 é 6227020800.

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

O fatorial de 4 é 24.

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

Subtraia 4 de 13 para obter 9.

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

O fatorial de 9 é 362880.

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

Multiplique 24 e 362880 para obter 8709120.

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

Dividir 6227020800 por 8709120 para obter 715.

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

Calcule 211 elevado a 4 e obtenha 1982119441.

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

Multiplique 715 e 1982119441 para obter 1417215400315.

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

Subtraia 211 de 1 para obter -210.

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

Subtraia 4 de 13 para obter 9.

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

Calcule -210 elevado a 9 e obtenha -794280046581000000000.

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

Multiplique 1417215400315 e -794280046581000000000 para obter -1125665914177508762073015000000000.

$$-1125665914177508762073015000000000$$

Fatorizar

$$-1125665914177508762073015000000000$$