Rešite 667+10^-11*1989*10^30/(14854*10^9)^2

$$667 + 10 ^ { - 11 } \cdot 1989 * 10 ^ { 30 } / ( 14854 * 10 ^ { 9 } ) ^ { 2 }$$

Ovrednoti

$$\frac{73583888831}{110320658}\approx 667,000090146$$

Koraki rešitve

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte -11 in 30, da dobite 19.

$$667+\frac{10^{19}\times 1989}{\left(14854\times 10^{9}\right)^{2}}$$

Izračunajte potenco 10 števila 19, da dobite 10000000000000000000.

$$667+\frac{10000000000000000000\times 1989}{\left(14854\times 10^{9}\right)^{2}}$$

Pomnožite 10000000000000000000 in 1989, da dobite 19890000000000000000000.

$$667+\frac{19890000000000000000000}{\left(14854\times 10^{9}\right)^{2}}$$

Izračunajte potenco 10 števila 9, da dobite 1000000000.

$$667+\frac{19890000000000000000000}{\left(14854\times 1000000000\right)^{2}}$$

Pomnožite 14854 in 1000000000, da dobite 14854000000000.

$$667+\frac{19890000000000000000000}{14854000000000^{2}}$$

Izračunajte potenco 14854000000000 števila 2, da dobite 220641316000000000000000000.

$$667+\frac{19890000000000000000000}{220641316000000000000000000}$$

Zmanjšajte ulomek \frac{19890000000000000000000}{220641316000000000000000000} na najmanjši imenovalec tako, da izpeljete in okrajšate 2000000000000000000.

$$667+\frac{9945}{110320658}$$

Seštejte 667 in \frac{9945}{110320658}, da dobite \frac{73583888831}{110320658}.

$$\frac{73583888831}{110320658}$$

Faktoriziraj

$$\frac{1237 \cdot 59485763}{2 \cdot 7 ^ {2} \cdot 1061 ^ {2}} = 667\frac{9945}{110320658} = 667,0000901463079$$