Rešite left(580*470-530*420right)^2*2000div1000div1000div1110div990=

$${ \left(580 \times 470-530 \times 420 \right) }^{ 2 } \times 2000 \div 1000 \div 1000 \div 1110 \div 990=$$

Ovrednoti

$$\frac{50000}{10989}\approx 4,55000455$$

Koraki rešitve

Izrazite \frac{\frac{\frac{\frac{\left(580\times 470-530\times 420\right)^{2}\times 2000}{1000}}{1000}}{1110}}{990} kot enojni ulomek.

$$\frac{\frac{\frac{\left(580\times 470-530\times 420\right)^{2}\times 2000}{1000}}{1000}}{1110\times 990}$$

Izrazite \frac{\frac{\left(580\times 470-530\times 420\right)^{2}\times 2000}{1000}}{1000} kot enojni ulomek.

$$\frac{\frac{\left(580\times 470-530\times 420\right)^{2}\times 2000}{1000\times 1000}}{1110\times 990}$$

Okrajšaj 2\times 1000 v števcu in imenovalcu.

$$\frac{\frac{\left(470\times 580-420\times 530\right)^{2}}{500}}{1110\times 990}$$

Pomnožite 470 in 580, da dobite 272600.

$$\frac{\frac{\left(272600-420\times 530\right)^{2}}{500}}{1110\times 990}$$

Pomnožite 420 in 530, da dobite 222600.

$$\frac{\frac{\left(272600-222600\right)^{2}}{500}}{1110\times 990}$$

Odštejte 222600 od 272600, da dobite 50000.

$$\frac{\frac{50000^{2}}{500}}{1110\times 990}$$

Izračunajte potenco 50000 števila 2, da dobite 2500000000.

$$\frac{\frac{2500000000}{500}}{1110\times 990}$$

Delite 2500000000 s/z 500, da dobite 5000000.

$$\frac{5000000}{1110\times 990}$$

Pomnožite 1110 in 990, da dobite 1098900.

$$\frac{5000000}{1098900}$$

Zmanjšajte ulomek \frac{5000000}{1098900} na najmanjši imenovalec tako, da izpeljete in okrajšate 100.

$$\frac{50000}{10989}$$

Faktoriziraj

$$\frac{2 ^ {4} \cdot 5 ^ {5}}{3 ^ {3} \cdot 11 \cdot 37} = 4\frac{6044}{10989} = 4,55000455000455$$