Riješi 667*10^-14*74*10^12/(1740*10^11)^2

$$\frac { 667 \times 10 ^ { - 14 } \times 74 \times 10 ^ { 12 } } { ( 1740 \times 10 ^ { 11 } ) ^ { 2 } }$$

Procijeni

$$\frac{851}{52200000000000000000000000000}\approx 1,630268199 \cdot 10^{-26}$$

Koraci za rješenje

Da biste pomnožili stepene iste osnove, saberite eksponente. Saberite -14 i 12 da biste dobili -2.

$$\frac{667\times 10^{-2}\times 74}{\left(1740\times 10^{11}\right)^{2}}$$

Izračunajte 10 stepen od -2 i dobijte \frac{1}{100}.

$$\frac{667\times \frac{1}{100}\times 74}{\left(1740\times 10^{11}\right)^{2}}$$

Pomnožite 667 i \frac{1}{100} da biste dobili \frac{667}{100}.

$$\frac{\frac{667}{100}\times 74}{\left(1740\times 10^{11}\right)^{2}}$$

Pomnožite \frac{667}{100} i 74 da biste dobili \frac{24679}{50}.

$$\frac{\frac{24679}{50}}{\left(1740\times 10^{11}\right)^{2}}$$

Izračunajte 10 stepen od 11 i dobijte 100000000000.

$$\frac{\frac{24679}{50}}{\left(1740\times 100000000000\right)^{2}}$$

Pomnožite 1740 i 100000000000 da biste dobili 174000000000000.

$$\frac{\frac{24679}{50}}{174000000000000^{2}}$$

Izračunajte 174000000000000 stepen od 2 i dobijte 30276000000000000000000000000.

$$\frac{\frac{24679}{50}}{30276000000000000000000000000}$$

Izrazite \frac{\frac{24679}{50}}{30276000000000000000000000000} kao jedan razlomak.

$$\frac{24679}{50\times 30276000000000000000000000000}$$

Pomnožite 50 i 30276000000000000000000000000 da biste dobili 1513800000000000000000000000000.

$$\frac{24679}{1513800000000000000000000000000}$$

Svedite razlomak \frac{24679}{1513800000000000000000000000000} na najprostije elemente rastavlјanjem i kraćenjem 29.

$$\frac{851}{52200000000000000000000000000}$$

Faktor

$$\frac{23 \cdot 37}{2 ^ {27} \cdot 3 ^ {2} \cdot 5 ^ {26} \cdot 29} = 1,6302681992337162 \times 10^{-26}$$