Riješi (16100)^2(39*10^10)/667*10^-11

$$\frac { ( 16100 ) ^ { 2 } ( 39 \times 10 ^ { 10 } ) } { 667 \times 10 ^ { - 11 } }$$

Izračunaj

$$\frac{439530000000000000000000000000}{29}\approx 1,51562069 \cdot 10^{28}$$

Koraci rješenja

Da biste podijelili potencije s istom bazom, oduzmite eksponent nazivnika od eksponenta brojnika.

$$\frac{39\times 10^{21}\times 16100^{2}}{667}$$

Izračunajte koliko je 21 na 10 da biste dobili 1000000000000000000000.

$$\frac{39\times 1000000000000000000000\times 16100^{2}}{667}$$

Pomnožite 39 i 1000000000000000000000 da biste dobili 39000000000000000000000.

$$\frac{39000000000000000000000\times 16100^{2}}{667}$$

Izračunajte koliko je 2 na 16100 da biste dobili 259210000.

$$\frac{39000000000000000000000\times 259210000}{667}$$

Pomnožite 39000000000000000000000 i 259210000 da biste dobili 10109190000000000000000000000000.

$$\frac{10109190000000000000000000000000}{667}$$

Skratite razlomak \frac{10109190000000000000000000000000}{667} na najmanje vrijednosti tako da izlučite i poništite 23.

$$\frac{439530000000000000000000000000}{29}$$

Faktor

$$\frac{2 ^ {25} \cdot 3 \cdot 5 ^ {25} \cdot 7 ^ {2} \cdot 13 \cdot 23}{29} = 1,515620689655173 \times 10^{28}\frac{4}{29} = 1,515620689655173 \times 10^{28}$$