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

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

Evaluate

$$\frac{3867}{5000}=0.7734$$

Solution Steps

Express \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} as a single fraction.

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

Cancel out 2 in both numerator and denominator.

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

Multiply 2 and 2 to get 4.

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

Multiply 4 and 2 to get 8.

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

Multiply 8 and 2 to get 16.

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

Multiply 16 and 3 to get 48.

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

Multiply 48 and 3 to get 144.

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

Multiply 144 and 3 to get 432.

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

Multiply 432 and 3 to get 1296.

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

Subtract 3 from 1296 to get 1293.

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

Subtract 2 from 1293 to get 1291.

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

Subtract 2 from 1291 to get 1289.

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

Multiply 3 and 1289 to get 3867.

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

Multiply 50 and 100 to get 5000.

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

Factor

$$\frac{3 \cdot 1289}{2 ^ {3} \cdot 5 ^ {4}} = 0.7734$$