Resolver frac{9*10^{8}*(16*10^{-19})^2}{667*10^-11*91*10^-31*166*10^-27}

$$\frac { 9 \times 10 ^ { 8 } \times ( 16 \times 10 ^ { - 19 } ) ^ { 2 } } { 667 \times 10 ^ { - 11 } \times 91 \times 10 ^ { - 31 } \times 166 \times 10 ^ { - 27 } }$$

Ebaluatu

$$\frac{1152000000000000000000000000000000000000000}{5037851}\approx 2.286689305 \cdot 10^{35}$$

Ebazpidea

Berrekizun bereko berreturak biderkatzeko, gehitu haien berretzaileak. -42 lortzeko, gehitu -11 eta -31.

$$\frac{9\times 10^{8}\times \left(16\times 10^{-19}\right)^{2}}{667\times 10^{-42}\times 91\times 166\times 10^{-27}}$$

Berrekizun bereko berreturak biderkatzeko, gehitu haien berretzaileak. -69 lortzeko, gehitu -42 eta -27.

$$\frac{9\times 10^{8}\times \left(16\times 10^{-19}\right)^{2}}{667\times 10^{-69}\times 91\times 166}$$

Berrekizun bereko berreturak zatitzeko, kendu izendatzailearen berretzailea zenbakitzailearen berretzaileari.

$$\frac{9\times 10^{77}\times \left(16\times 10^{-19}\right)^{2}}{91\times 166\times 667}$$

100000000000000000000000000000000000000000000000000000000000000000000000000000 lortzeko, egin 10 ber 77.

$$\frac{9\times 100000000000000000000000000000000000000000000000000000000000000000000000000000\times \left(16\times 10^{-19}\right)^{2}}{91\times 166\times 667}$$

900000000000000000000000000000000000000000000000000000000000000000000000000000 lortzeko, biderkatu 9 eta 100000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{900000000000000000000000000000000000000000000000000000000000000000000000000000\times \left(16\times 10^{-19}\right)^{2}}{91\times 166\times 667}$$

\frac{1}{10000000000000000000} lortzeko, egin 10 ber -19.

$$\frac{900000000000000000000000000000000000000000000000000000000000000000000000000000\times \left(16\times \frac{1}{10000000000000000000}\right)^{2}}{91\times 166\times 667}$$

\frac{1}{625000000000000000} lortzeko, biderkatu 16 eta \frac{1}{10000000000000000000}.

$$\frac{900000000000000000000000000000000000000000000000000000000000000000000000000000\times \left(\frac{1}{625000000000000000}\right)^{2}}{91\times 166\times 667}$$

\frac{1}{390625000000000000000000000000000000} lortzeko, egin \frac{1}{625000000000000000} ber 2.

$$\frac{900000000000000000000000000000000000000000000000000000000000000000000000000000\times \frac{1}{390625000000000000000000000000000000}}{91\times 166\times 667}$$

2304000000000000000000000000000000000000000 lortzeko, biderkatu 900000000000000000000000000000000000000000000000000000000000000000000000000000 eta \frac{1}{390625000000000000000000000000000000}.

$$\frac{2304000000000000000000000000000000000000000}{91\times 166\times 667}$$

15106 lortzeko, biderkatu 91 eta 166.

$$\frac{2304000000000000000000000000000000000000000}{15106\times 667}$$

10075702 lortzeko, biderkatu 15106 eta 667.

$$\frac{2304000000000000000000000000000000000000000}{10075702}$$

Murriztu \frac{2304000000000000000000000000000000000000000}{10075702} zatikia gai txikienera, 2 bakanduta eta ezeztatuta.

$$\frac{1152000000000000000000000000000000000000000}{5037851}$$

Faktorizatu

$$\frac{2 ^ {46} \cdot 3 ^ {2} \cdot 5 ^ {39}}{7 \cdot 13 \cdot 23 \cdot 29 \cdot 83} = 2.2866893046261194 \times 10^{35}\frac{336198}{5037851} = 2.2866893046261194 \times 10^{35}$$