Riješi 663*10^-34*3*10^8/300*10^-9

$$663 \times { 10 }^{ -34 } \times 3 \times \frac{ { 10 }^{ 8 } }{ 300 \times { 10 }^{ -9 } }$$

Procijeni

$$\frac{663}{10000000000000000000}=6,63 \cdot 10^{-17}$$

Koraci za rješenje

Izračunajte 10 stepen od -34 i dobijte \frac{1}{10000000000000000000000000000000000}.

$$663\times \frac{1}{10000000000000000000000000000000000}\times 3\times \frac{10^{8}}{300\times 10^{-9}}$$

Pomnožite 663 i \frac{1}{10000000000000000000000000000000000} da biste dobili \frac{663}{10000000000000000000000000000000000}.

$$\frac{663}{10000000000000000000000000000000000}\times 3\times \frac{10^{8}}{300\times 10^{-9}}$$

Pomnožite \frac{663}{10000000000000000000000000000000000} i 3 da biste dobili \frac{1989}{10000000000000000000000000000000000}.

$$\frac{1989}{10000000000000000000000000000000000}\times \frac{10^{8}}{300\times 10^{-9}}$$

Da biste podijelili stepene iste osnove, oduzmite eksponent imenioca od eksponenta brojioca.

$$\frac{1989}{10000000000000000000000000000000000}\times \frac{10^{17}}{300}$$

Izračunajte 10 stepen od 17 i dobijte 100000000000000000.

$$\frac{1989}{10000000000000000000000000000000000}\times \frac{100000000000000000}{300}$$

Svedite razlomak \frac{100000000000000000}{300} na najprostije elemente rastavlјanjem i kraćenjem 100.

$$\frac{1989}{10000000000000000000000000000000000}\times \frac{1000000000000000}{3}$$

Pomnožite \frac{1989}{10000000000000000000000000000000000} i \frac{1000000000000000}{3} da biste dobili \frac{663}{10000000000000000000}.

$$\frac{663}{10000000000000000000}$$

Faktor

$$\frac{3 \cdot 13 \cdot 17}{2 ^ {19} \cdot 5 ^ {19}} = 6,63 \times 10^{-17}$$