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

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

Calcola

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

Procedura della soluzione

Per moltiplicare le potenze della stessa base, somma i relativi esponenti. Somma 27 e 23 per ottenere 50.

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

Per moltiplicare le potenze della stessa base, somma i relativi esponenti. Somma 6 e 6 per ottenere 12.

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

Calcola 10 alla potenza di -11 e ottieni \frac{1}{100000000000}.

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

Moltiplica 667 e \frac{1}{100000000000} per ottenere \frac{667}{100000000000}.

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

Cancella 10\times 19\times 10^{11} nel numeratore e nel denominatore.

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

Calcola 10 alla potenza di 39 e ottieni 1000000000000000000000000000000000000000.

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

Moltiplica 108 e 1000000000000000000000000000000000000000 per ottenere 108000000000000000000000000000000000000000.

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

Moltiplica \frac{667}{100000000000} e \frac{108000000000000000000000000000000000000000}{19} per ottenere \frac{720360000000000000000000000000000}{19}.

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

Scomponi in fattori

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