Riješi 1100^27410^9/667*10^-11

$$\frac{ { 1100 }^{ 2 } 74 { 10 }^{ 9 } }{ 667 \times { 10 }^{ -11 } }$$

Izračunaj

$$\frac{8954000000000000000000000000}{667}\approx 1,342428786 \cdot 10^{25}$$

Koraci rješenja

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

$$\frac{74\times 10^{20}\times 1100^{2}}{667}$$

Izračunajte koliko je 20 na 10 da biste dobili 100000000000000000000.

$$\frac{74\times 100000000000000000000\times 1100^{2}}{667}$$

Pomnožite 74 i 100000000000000000000 da biste dobili 7400000000000000000000.

$$\frac{7400000000000000000000\times 1100^{2}}{667}$$

Izračunajte koliko je 2 na 1100 da biste dobili 1210000.

$$\frac{7400000000000000000000\times 1210000}{667}$$

Pomnožite 7400000000000000000000 i 1210000 da biste dobili 8954000000000000000000000000.

$$\frac{8954000000000000000000000000}{667}$$

Faktor

$$\frac{2 ^ {25} \cdot 5 ^ {24} \cdot 11 ^ {2} \cdot 37}{23 \cdot 29} = 1,3424287856071964 \times 10^{25}\frac{32}{667} = 1,3424287856071964 \times 10^{25}$$