Riješi 879456123/415322^23223122^23233%3031

$$\frac{ 879456123 }{ { 415322 }^{ 2 } { 3223122 }^{ 2 } 3233 \% 3031 }$$

Izračunaj

$$\frac{348990525}{69681014119938318399311184644}\approx 5,008401921 \cdot 10^{-21}$$

Koraci rješenja

Izračunajte koliko je 2 na 415322 da biste dobili 172492363684.

$$\frac{879456123}{172492363684\times 3223122^{2}\times \frac{3233}{100}\times 3031}$$

Izračunajte koliko je 2 na 3223122 da biste dobili 10388515426884.

$$\frac{879456123}{172492363684\times 10388515426884\times \frac{3233}{100}\times 3031}$$

Pomnožite 172492363684 i 10388515426884 da biste dobili 1791939581150919438880656.

$$\frac{879456123}{1791939581150919438880656\times \frac{3233}{100}\times 3031}$$

Izrazite 1791939581150919438880656\times \frac{3233}{100} kao jedan razlomak.

$$\frac{879456123}{\frac{1791939581150919438880656\times 3233}{100}\times 3031}$$

Pomnožite 1791939581150919438880656 i 3233 da biste dobili 5793340665860922545901160848.

$$\frac{879456123}{\frac{5793340665860922545901160848}{100}\times 3031}$$

Skratite razlomak \frac{5793340665860922545901160848}{100} na najmanje vrijednosti tako da izlučite i poništite 4.

$$\frac{879456123}{\frac{1448335166465230636475290212}{25}\times 3031}$$

Izrazite \frac{1448335166465230636475290212}{25}\times 3031 kao jedan razlomak.

$$\frac{879456123}{\frac{1448335166465230636475290212\times 3031}{25}}$$

Pomnožite 1448335166465230636475290212 i 3031 da biste dobili 4389903889556114059156604632572.

$$\frac{879456123}{\frac{4389903889556114059156604632572}{25}}$$

Podijelite 879456123 s \frac{4389903889556114059156604632572}{25} tako da pomnožite 879456123 s brojem recipročnim broju \frac{4389903889556114059156604632572}{25}.

$$879456123\times \frac{25}{4389903889556114059156604632572}$$

Izrazite 879456123\times \frac{25}{4389903889556114059156604632572} kao jedan razlomak.

$$\frac{879456123\times 25}{4389903889556114059156604632572}$$

Pomnožite 879456123 i 25 da biste dobili 21986403075.

$$\frac{21986403075}{4389903889556114059156604632572}$$

Skratite razlomak \frac{21986403075}{4389903889556114059156604632572} na najmanje vrijednosti tako da izlučite i poništite 63.

$$\frac{348990525}{69681014119938318399311184644}$$

Faktor

$$\frac{3 ^ {7} \cdot 5 ^ {2} \cdot 13 \cdot 491}{2 ^ {2} \cdot 7 ^ {4} \cdot 19 ^ {2} \cdot 53 \cdot 61 \cdot 433 \cdot 577 ^ {2} \cdot 207661 ^ {2}} = 5,008401921351213 \times 10^{-21}$$