Resolver 25!/17!(25-17)!*60^17

$$\frac { 25 ! } { 17 ! ( 25 - 17 ) ! } \cdot 60 ^ { 17 }$$

Calcular

$$1830745168894033920000000000000000000$$

Pasos da solución

O factor de 25 é 15511210043330985984000000.

$$\frac{15511210043330985984000000}{17!\left(25-17\right)!}\times 60^{17}$$

O factor de 17 é 355687428096000.

$$\frac{15511210043330985984000000}{355687428096000\left(25-17\right)!}\times 60^{17}$$

Resta 17 de 25 para obter 8.

$$\frac{15511210043330985984000000}{355687428096000\times 8!}\times 60^{17}$$

O factor de 8 é 40320.

$$\frac{15511210043330985984000000}{355687428096000\times 40320}\times 60^{17}$$

Multiplica 355687428096000 e 40320 para obter 14341317100830720000.

$$\frac{15511210043330985984000000}{14341317100830720000}\times 60^{17}$$

Divide 15511210043330985984000000 entre 14341317100830720000 para obter 1081575.

$$1081575\times 60^{17}$$

Calcula 60 á potencia de 17 e obtén 1692665944473600000000000000000.

$$1081575\times 1692665944473600000000000000000$$

Multiplica 1081575 e 1692665944473600000000000000000 para obter 1830745168894033920000000000000000000.

$$1830745168894033920000000000000000000$$

Factorizar

$$2^{34}\times 3^{19}\times 5^{19}\times 11\times 19\times 23$$