Riješi 899*10^9(6*10^-9(-3*10^-9)/(4)^2)

$$899 \times 10 ^ { 9 } ( \frac { 6 \times 10 ^ { - 9 } ( - 3 \times 10 ^ { - 9 } ) } { ( 4 ) ^ { 2 } } )$$

Izračunaj

$$-\frac{8091}{8000000000}=-0,000001011$$

Koraci rješenja

Da biste pomnožili potencije s istom bazom, zbrojite eksponente. Dodajte -9 i -9 da biste dobili -18.

$$899\times 10^{9}\times \frac{6\times 10^{-18}\left(-3\right)}{4^{2}}$$

Izračunajte koliko je 9 na 10 da biste dobili 1000000000.

$$899\times 1000000000\times \frac{6\times 10^{-18}\left(-3\right)}{4^{2}}$$

Pomnožite 899 i 1000000000 da biste dobili 899000000000.

$$899000000000\times \frac{6\times 10^{-18}\left(-3\right)}{4^{2}}$$

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

$$899000000000\times \frac{6\times \frac{1}{1000000000000000000}\left(-3\right)}{4^{2}}$$

Pomnožite 6 i \frac{1}{1000000000000000000} da biste dobili \frac{3}{500000000000000000}.

$$899000000000\times \frac{\frac{3}{500000000000000000}\left(-3\right)}{4^{2}}$$

Pomnožite \frac{3}{500000000000000000} i -3 da biste dobili -\frac{9}{500000000000000000}.

$$899000000000\times \frac{-\frac{9}{500000000000000000}}{4^{2}}$$

Izračunajte koliko je 2 na 4 da biste dobili 16.

$$899000000000\times \frac{-\frac{9}{500000000000000000}}{16}$$

Izrazite \frac{-\frac{9}{500000000000000000}}{16} kao jedan razlomak.

$$899000000000\times \frac{-9}{500000000000000000\times 16}$$

Pomnožite 500000000000000000 i 16 da biste dobili 8000000000000000000.

$$899000000000\times \frac{-9}{8000000000000000000}$$

Razlomak \frac{-9}{8000000000000000000} može se napisati kao -\frac{9}{8000000000000000000} tako da se izluči negativan predznak.

$$899000000000\left(-\frac{9}{8000000000000000000}\right)$$

Pomnožite 899000000000 i -\frac{9}{8000000000000000000} da biste dobili -\frac{8091}{8000000000}.

$$-\frac{8091}{8000000000}$$

Faktor

$$-\frac{8091}{8000000000} = -1,011375 \times 10^{-6}$$