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

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

Procijeni

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

Koraci za rješenje

Da biste pomnožili stepene iste osnove, saberite eksponente. Saberite -11 i 30 da biste dobili 19.

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

Izračunajte 10 stepen od 19 i dobijte 10000000000000000000.

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

Pomnožite 10000000000000000000 i 1989 da biste dobili 19890000000000000000000.

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

Izračunajte 10 stepen od 9 i dobijte 1000000000.

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

Pomnožite 14854 i 1000000000 da biste dobili 14854000000000.

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

Izračunajte 14854000000000 stepen od 2 i dobijte 220641316000000000000000000.

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

Svedite razlomak \frac{19890000000000000000000}{220641316000000000000000000} na najprostije elemente rastavlјanjem i kraćenjem 2000000000000000000.

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

Saberite 667 i \frac{9945}{110320658} da biste dobili \frac{73583888831}{110320658}.

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

Faktor

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