Resolver (2*2*2*2*3*3*3*3-2-3-2)*2*3div100div100=

$$(2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 3-2-3-2) \times 2 \times 3 \div 100 \div 100=$$

Avaliar

$$\frac{3867}{5000}=0,7734$$

Passos Para a Resolução

Expresse \frac{\frac{\left(2\times 2\times 2\times 2\times 3\times 3\times 3\times 3-2-3-2\right)\times 2\times 3}{100}}{100} como uma fração única.

$$\frac{\left(2\times 2\times 2\times 2\times 3\times 3\times 3\times 3-2-3-2\right)\times 2\times 3}{100\times 100}$$

Anule 2 no numerador e no denominador.

$$\frac{3\left(2\times 2\times 2\times 2\times 3\times 3\times 3\times 3-3-2-2\right)}{50\times 100}$$

Multiplique 2 e 2 para obter 4.

$$\frac{3\left(4\times 2\times 2\times 3\times 3\times 3\times 3-3-2-2\right)}{50\times 100}$$

Multiplique 4 e 2 para obter 8.

$$\frac{3\left(8\times 2\times 3\times 3\times 3\times 3-3-2-2\right)}{50\times 100}$$

Multiplique 8 e 2 para obter 16.

$$\frac{3\left(16\times 3\times 3\times 3\times 3-3-2-2\right)}{50\times 100}$$

Multiplique 16 e 3 para obter 48.

$$\frac{3\left(48\times 3\times 3\times 3-3-2-2\right)}{50\times 100}$$

Multiplique 48 e 3 para obter 144.

$$\frac{3\left(144\times 3\times 3-3-2-2\right)}{50\times 100}$$

Multiplique 144 e 3 para obter 432.

$$\frac{3\left(432\times 3-3-2-2\right)}{50\times 100}$$

Multiplique 432 e 3 para obter 1296.

$$\frac{3\left(1296-3-2-2\right)}{50\times 100}$$

Subtraia 3 de 1296 para obter 1293.

$$\frac{3\left(1293-2-2\right)}{50\times 100}$$

Subtraia 2 de 1293 para obter 1291.

$$\frac{3\left(1291-2\right)}{50\times 100}$$

Subtraia 2 de 1291 para obter 1289.

$$\frac{3\times 1289}{50\times 100}$$

Multiplique 3 e 1289 para obter 3867.

$$\frac{3867}{50\times 100}$$

Multiplique 50 e 100 para obter 5000.

$$\frac{3867}{5000}$$

Fatorizar

$$\frac{3 \cdot 1289}{2 ^ {3} \cdot 5 ^ {4}} = 0,7734$$