Rešite 4*314*314*196*10^1/667*10^-11*14*3600

$$\frac { 4 \times 314 \times 314 \times 196 \times 10 ^ { 1 } } { 667 \times 10 ^ { - 11 } \times 14 \times 3600 }$$

Ovrednoti

$$\frac{13803440000000000}{6003}\approx 2,299423622 \cdot 10^{12}$$

Koraki rešitve

Okrajšaj 2\times 2\times 2\times 2\times 2\times 5\times 7 v števcu in imenovalcu.

$$\frac{2\times 14\times 157\times 157}{45\times 667\times 10^{-11}}$$

Pomnožite 2 in 14, da dobite 28.

$$\frac{28\times 157\times 157}{45\times 667\times 10^{-11}}$$

Pomnožite 28 in 157, da dobite 4396.

$$\frac{4396\times 157}{45\times 667\times 10^{-11}}$$

Pomnožite 4396 in 157, da dobite 690172.

$$\frac{690172}{45\times 667\times 10^{-11}}$$

Pomnožite 45 in 667, da dobite 30015.

$$\frac{690172}{30015\times 10^{-11}}$$

Izračunajte potenco 10 števila -11, da dobite \frac{1}{100000000000}.

$$\frac{690172}{30015\times \frac{1}{100000000000}}$$

Pomnožite 30015 in \frac{1}{100000000000}, da dobite \frac{6003}{20000000000}.

$$\frac{690172}{\frac{6003}{20000000000}}$$

Delite 690172 s/z \frac{6003}{20000000000} tako, da pomnožite 690172 z obratno vrednostjo \frac{6003}{20000000000}.

$$690172\times \frac{20000000000}{6003}$$

Pomnožite 690172 in \frac{20000000000}{6003}, da dobite \frac{13803440000000000}{6003}.

$$\frac{13803440000000000}{6003}$$

Faktoriziraj

$$\frac{2 ^ {13} \cdot 5 ^ {10} \cdot 7 \cdot 157 ^ {2}}{3 ^ {2} \cdot 23 \cdot 29} = 2299423621522\frac{3434}{6003} = 2299423621522,5723$$