Resolver 7!/0!(7-0)!*0.6^7*0.4^7

$$\frac{ 7 ! }{ 0 ! (7-0) ! } \times { 0.6 }^{ 7 } \times { 0.4 }^{ 7 }$$

Calcular

$$0.00004586471424$$

Pasos da solución

O factor de 7 é 5040.

$$\frac{5040}{0!\left(7-0\right)!}\times 0.6^{7}\times 0.4^{7}$$

O factor de 0 é 1.

$$\frac{5040}{1\left(7-0\right)!}\times 0.6^{7}\times 0.4^{7}$$

Resta 0 de 7 para obter 7.

$$\frac{5040}{1\times 7!}\times 0.6^{7}\times 0.4^{7}$$

O factor de 7 é 5040.

$$\frac{5040}{1\times 5040}\times 0.6^{7}\times 0.4^{7}$$

Multiplica 1 e 5040 para obter 5040.

$$\frac{5040}{5040}\times 0.6^{7}\times 0.4^{7}$$

Divide 5040 entre 5040 para obter 1.

$$1\times 0.6^{7}\times 0.4^{7}$$

Calcula 0.6 á potencia de 7 e obtén 0.0279936.

$$1\times 0.0279936\times 0.4^{7}$$

Multiplica 1 e 0.0279936 para obter 0.0279936.

$$0.0279936\times 0.4^{7}$$

Calcula 0.4 á potencia de 7 e obtén 0.0016384.

$$0.0279936\times 0.0016384$$

Multiplica 0.0279936 e 0.0016384 para obter 0.00004586471424.

$$0.00004586471424$$

Factorizar

$$\frac{2 ^ {7} \cdot 3 ^ {7}}{5 ^ {14}} = 4.586471424 \times 10^{-5}$$