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

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

Ovrednoti

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

Koraki rešitve

Izrazite \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} kot enojni ulomek.

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

Okrajšaj 2 v števcu in imenovalcu.

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

Pomnožite 2 in 2, da dobite 4.

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

Pomnožite 4 in 2, da dobite 8.

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

Pomnožite 8 in 2, da dobite 16.

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

Pomnožite 16 in 3, da dobite 48.

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

Pomnožite 48 in 3, da dobite 144.

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

Pomnožite 144 in 3, da dobite 432.

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

Pomnožite 432 in 3, da dobite 1296.

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

Odštejte 3 od 1296, da dobite 1293.

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

Odštejte 2 od 1293, da dobite 1291.

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

Odštejte 2 od 1291, da dobite 1289.

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

Pomnožite 3 in 1289, da dobite 3867.

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

Pomnožite 50 in 100, da dobite 5000.

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

Faktoriziraj

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