Rešite 66764219*1989110^42/2279410^11

$$667 \frac{ 64219 \cdot 19891 { 10 }^{ 42 } }{ 22794 { 10 }^{ 11 } }$$

Ovrednoti

$$\frac{146898714835000000000000000000000000000000}{393}\approx 3,737880785 \cdot 10^{38}$$

Koraki rešitve

Okrajšaj 10^{11} v števcu in imenovalcu.

$$667\times \frac{19891\times 64219\times 10^{31}}{22794}$$

Pomnožite 19891 in 64219, da dobite 1277380129.

$$667\times \frac{1277380129\times 10^{31}}{22794}$$

Izračunajte potenco 10 števila 31, da dobite 10000000000000000000000000000000.

$$667\times \frac{1277380129\times 10000000000000000000000000000000}{22794}$$

Pomnožite 1277380129 in 10000000000000000000000000000000, da dobite 12773801290000000000000000000000000000000.

$$667\times \frac{12773801290000000000000000000000000000000}{22794}$$

Zmanjšajte ulomek \frac{12773801290000000000000000000000000000000}{22794} na najmanjši imenovalec tako, da izpeljete in okrajšate 2.

$$667\times \frac{6386900645000000000000000000000000000000}{11397}$$

Izrazite 667\times \frac{6386900645000000000000000000000000000000}{11397} kot enojni ulomek.

$$\frac{667\times 6386900645000000000000000000000000000000}{11397}$$

Pomnožite 667 in 6386900645000000000000000000000000000000, da dobite 4260062730215000000000000000000000000000000.

$$\frac{4260062730215000000000000000000000000000000}{11397}$$

Zmanjšajte ulomek \frac{4260062730215000000000000000000000000000000}{11397} na najmanjši imenovalec tako, da izpeljete in okrajšate 29.

$$\frac{146898714835000000000000000000000000000000}{393}$$

Faktoriziraj

$$\frac{2 ^ {30} \cdot 5 ^ {31} \cdot 23 \cdot 149 \cdot 431 \cdot 19891}{3 \cdot 131} = 3,7378807846055984 \times 10^{38}\frac{123}{393} = 3,7378807846055984 \times 10^{38}$$