Resolver 14*13*12*11*10*9*8*7*6*5*4*3*2*1/3*1*2*1*2*12*1=

$$\frac { 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } { 3 \cdot 1 \cdot 2 \cdot 1 \cdot 2 \cdot 12 \cdot 1 } =$$

Avaliar

$$605404800$$

Passos Para a Resolução

Anule 2\times 2\times 2\times 2\times 3\times 3 no numerador e no denominador.

$$2\times 3\times 3\times 4\times 5\times 5\times 6\times 7\times 7\times 8\times 11\times 13$$

Multiplique 2 e 3 para obter 6.

$$6\times 3\times 4\times 5\times 5\times 6\times 7\times 7\times 8\times 11\times 13$$

Multiplique 6 e 3 para obter 18.

$$18\times 4\times 5\times 5\times 6\times 7\times 7\times 8\times 11\times 13$$

Multiplique 18 e 4 para obter 72.

$$72\times 5\times 5\times 6\times 7\times 7\times 8\times 11\times 13$$

Multiplique 72 e 5 para obter 360.

$$360\times 5\times 6\times 7\times 7\times 8\times 11\times 13$$

Multiplique 360 e 5 para obter 1800.

$$1800\times 6\times 7\times 7\times 8\times 11\times 13$$

Multiplique 1800 e 6 para obter 10800.

$$10800\times 7\times 7\times 8\times 11\times 13$$

Multiplique 10800 e 7 para obter 75600.

$$75600\times 7\times 8\times 11\times 13$$

Multiplique 75600 e 7 para obter 529200.

$$529200\times 8\times 11\times 13$$

Multiplique 529200 e 8 para obter 4233600.

$$4233600\times 11\times 13$$

Multiplique 4233600 e 11 para obter 46569600.

$$46569600\times 13$$

Multiplique 46569600 e 13 para obter 605404800.

$$605404800$$

Fatorizar

$$2^{7}\times 3^{3}\times 5^{2}\times 7^{2}\times 11\times 13$$