Resolver left(9*8*7*6*5*4*3*2*1*10right)^9

$${ \left(9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 \times 10 \right) }^{ 9 }$$

Calcular

$$109110688415571316480344899355894085582848000000000000000000$$

Pasos da solución

Multiplica 9 e 8 para obter 72.

$$\left(72\times 7\times 6\times 5\times 4\times 3\times 2\times 1\times 10\right)^{9}$$

Multiplica 72 e 7 para obter 504.

$$\left(504\times 6\times 5\times 4\times 3\times 2\times 1\times 10\right)^{9}$$

Multiplica 504 e 6 para obter 3024.

$$\left(3024\times 5\times 4\times 3\times 2\times 1\times 10\right)^{9}$$

Multiplica 3024 e 5 para obter 15120.

$$\left(15120\times 4\times 3\times 2\times 1\times 10\right)^{9}$$

Multiplica 15120 e 4 para obter 60480.

$$\left(60480\times 3\times 2\times 1\times 10\right)^{9}$$

Multiplica 60480 e 3 para obter 181440.

$$\left(181440\times 2\times 1\times 10\right)^{9}$$

Multiplica 181440 e 2 para obter 362880.

$$\left(362880\times 1\times 10\right)^{9}$$

Multiplica 362880 e 1 para obter 362880.

$$\left(362880\times 10\right)^{9}$$

Multiplica 362880 e 10 para obter 3628800.

$$3628800^{9}$$

Calcula 3628800 á potencia de 9 e obtén 109110688415571316480344899355894085582848000000000000000000.

$$109110688415571316480344899355894085582848000000000000000000$$

Factorizar

$$2^{72}\times 3^{36}\times 5^{18}\times 7^{9}$$