Riješi 667*10^-1170*5*972*10^24/6786000^2

$$\frac{ 667 \times { 10 }^{ -11 } 70 \cdot 5 \cdot 972 \times { 10 }^{ 24 } }{ { 6786000 }^{ 2 } }$$

Izračunaj

$$\frac{241500000000}{4901}\approx 49275658,028973679$$

Koraci rješenja

Da biste pomnožili potencije s istom bazom, zbrojite eksponente. Dodajte -11 i 24 da biste dobili 13.

$$\frac{667\times 10^{13}\times 70\times 5\times 972}{6786000^{2}}$$

Izračunajte koliko je 13 na 10 da biste dobili 10000000000000.

$$\frac{667\times 10000000000000\times 70\times 5\times 972}{6786000^{2}}$$

Pomnožite 667 i 10000000000000 da biste dobili 6670000000000000.

$$\frac{6670000000000000\times 70\times 5\times 972}{6786000^{2}}$$

Pomnožite 6670000000000000 i 70 da biste dobili 466900000000000000.

$$\frac{466900000000000000\times 5\times 972}{6786000^{2}}$$

Pomnožite 466900000000000000 i 5 da biste dobili 2334500000000000000.

$$\frac{2334500000000000000\times 972}{6786000^{2}}$$

Pomnožite 2334500000000000000 i 972 da biste dobili 2269134000000000000000.

$$\frac{2269134000000000000000}{6786000^{2}}$$

Izračunajte koliko je 2 na 6786000 da biste dobili 46049796000000.

$$\frac{2269134000000000000000}{46049796000000}$$

Skratite razlomak \frac{2269134000000000000000}{46049796000000} na najmanje vrijednosti tako da izlučite i poništite 9396000000.

$$\frac{241500000000}{4901}$$

Faktor

$$\frac{2 ^ {8} \cdot 3 \cdot 5 ^ {9} \cdot 7 \cdot 23}{13 ^ {2} \cdot 29} = 49275658\frac{142}{4901} = 49275658,028973676$$