Riješi 667*10^-11190*10^27*(108*10^23)/(19*10^6)*(19*{10^6)}

$$667 \times { 10 }^{ -11 } \frac{ 190 \times { 10 }^{ 27 } \times (108 \times { 10 }^{ 23 } ) }{ (19 \times { 10 }^{ 6 } ) \times (19 \times { 10 }^{ 6 } ) }$$

Izračunaj

$$\frac{720360000000000000000000000000000}{19}\approx 3,791368421 \cdot 10^{31}$$

Koraci rješenja

Da biste pomnožili potencije s istom bazom, zbrojite eksponente. Dodajte 27 i 23 da biste dobili 50.

$$667\times 10^{-11}\times \frac{190\times 10^{50}\times 108}{19\times 10^{6}\times 19\times 10^{6}}$$

Da biste pomnožili potencije s istom bazom, zbrojite eksponente. Dodajte 6 i 6 da biste dobili 12.

$$667\times 10^{-11}\times \frac{190\times 10^{50}\times 108}{19\times 10^{12}\times 19}$$

Izračunajte koliko je -11 na 10 da biste dobili \frac{1}{100000000000}.

$$667\times \frac{1}{100000000000}\times \frac{190\times 10^{50}\times 108}{19\times 10^{12}\times 19}$$

Pomnožite 667 i \frac{1}{100000000000} da biste dobili \frac{667}{100000000000}.

$$\frac{667}{100000000000}\times \frac{190\times 10^{50}\times 108}{19\times 10^{12}\times 19}$$

Skratite 10\times 19\times 10^{11} u brojniku i nazivniku.

$$\frac{667}{100000000000}\times \frac{108\times 10^{39}}{19}$$

Izračunajte koliko je 39 na 10 da biste dobili 1000000000000000000000000000000000000000.

$$\frac{667}{100000000000}\times \frac{108\times 1000000000000000000000000000000000000000}{19}$$

Pomnožite 108 i 1000000000000000000000000000000000000000 da biste dobili 108000000000000000000000000000000000000000.

$$\frac{667}{100000000000}\times \frac{108000000000000000000000000000000000000000}{19}$$

Pomnožite \frac{667}{100000000000} i \frac{108000000000000000000000000000000000000000}{19} da biste dobili \frac{720360000000000000000000000000000}{19}.

$$\frac{720360000000000000000000000000000}{19}$$

Faktor

$$\frac{2 ^ {30} \cdot 3 ^ {3} \cdot 5 ^ {28} \cdot 23 \cdot 29}{19} = 3,7913684210526317 \times 10^{31}\frac{6}{19} = 3,7913684210526317 \times 10^{31}$$