Riješi 218*10^-18quadx=663*10^-34*3*10^8/434*10^-9

$$218 \times 10 ^ { - 18 } \quad x = \frac { 663 \times 10 ^ { - 34 } \times 3 \times 10 ^ { 8 } } { 434 \times 10 ^ { - 9 } }$$

Izračunaj x

$$x=\frac{9945}{47306}\approx 0,210227033$$

Koraci rješavanja linearne jednadžbe

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

$$218\times 10^{-18}x=\frac{663\times 10^{-26}\times 3}{434\times 10^{-9}}$$

Izračunajte koliko je -18 na 10 da biste dobili \frac{1}{1000000000000000000}.

$$218\times \frac{1}{1000000000000000000}x=\frac{663\times 10^{-26}\times 3}{434\times 10^{-9}}$$

Pomnožite 218 i \frac{1}{1000000000000000000} da biste dobili \frac{109}{500000000000000000}.

$$\frac{109}{500000000000000000}x=\frac{663\times 10^{-26}\times 3}{434\times 10^{-9}}$$

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

$$\frac{109}{500000000000000000}x=\frac{3\times 663}{434\times 10^{17}}$$

Pomnožite 3 i 663 da biste dobili 1989.

$$\frac{109}{500000000000000000}x=\frac{1989}{434\times 10^{17}}$$

Izračunajte koliko je 17 na 10 da biste dobili 100000000000000000.

$$\frac{109}{500000000000000000}x=\frac{1989}{434\times 100000000000000000}$$

Pomnožite 434 i 100000000000000000 da biste dobili 43400000000000000000.

$$\frac{109}{500000000000000000}x=\frac{1989}{43400000000000000000}$$

Pomnožite obje strane s \frac{500000000000000000}{109}, recipročnim izrazom od \frac{109}{500000000000000000}.

$$x=\frac{1989}{43400000000000000000}\times \frac{500000000000000000}{109}$$

Pomnožite \frac{1989}{43400000000000000000} i \frac{500000000000000000}{109} da biste dobili \frac{9945}{47306}.

$$x=\frac{9945}{47306}$$