Riješi 663*10^-34*3*10^8/515*16^-19

$$\frac{ 663 \times { 10 }^{ -34 } \times 3 \times { 10 }^{ 8 } }{ 515 \times { 16 }^{ -19 } }$$

Izračunaj

$$\frac{2239414914709979136}{767409801483154296875}\approx 0,002918147$$

Koraci rješenja

Da biste pomnožili potencije s istom bazom, zbrojite eksponente. Dodajte -34 i 8 da biste dobili -26.

$$\frac{663\times 10^{-26}\times 3}{515\times 16^{-19}}$$

Izračunajte koliko je -26 na 10 da biste dobili \frac{1}{100000000000000000000000000}.

$$\frac{663\times \frac{1}{100000000000000000000000000}\times 3}{515\times 16^{-19}}$$

Pomnožite 663 i \frac{1}{100000000000000000000000000} da biste dobili \frac{663}{100000000000000000000000000}.

$$\frac{\frac{663}{100000000000000000000000000}\times 3}{515\times 16^{-19}}$$

Pomnožite \frac{663}{100000000000000000000000000} i 3 da biste dobili \frac{1989}{100000000000000000000000000}.

$$\frac{\frac{1989}{100000000000000000000000000}}{515\times 16^{-19}}$$

Izračunajte koliko je -19 na 16 da biste dobili \frac{1}{75557863725914323419136}.

$$\frac{\frac{1989}{100000000000000000000000000}}{515\times \frac{1}{75557863725914323419136}}$$

Pomnožite 515 i \frac{1}{75557863725914323419136} da biste dobili \frac{515}{75557863725914323419136}.

$$\frac{\frac{1989}{100000000000000000000000000}}{\frac{515}{75557863725914323419136}}$$

Podijelite \frac{1989}{100000000000000000000000000} s \frac{515}{75557863725914323419136} tako da pomnožite \frac{1989}{100000000000000000000000000} s brojem recipročnim broju \frac{515}{75557863725914323419136}.

$$\frac{1989}{100000000000000000000000000}\times \frac{75557863725914323419136}{515}$$

Pomnožite \frac{1989}{100000000000000000000000000} i \frac{75557863725914323419136}{515} da biste dobili \frac{2239414914709979136}{767409801483154296875}.

$$\frac{2239414914709979136}{767409801483154296875}$$

Faktor

$$\frac{2 ^ {50} \cdot 3 ^ {2} \cdot 13 \cdot 17}{5 ^ {27} \cdot 103} = 0,0029181473971037586$$