Resolver frac{3^{2}*(6*626*10^-34)^2}{8*9*1*10^-31*(4805*10^-9)}

$$\frac { 3 ^ { 2 } \times ( 6 \cdot 626 \times 10 ^ { - 34 } ) ^ { 2 } } { 8 \times 9 \cdot 1 \times 10 ^ { - 31 } \times ( 4805 \times 10 ^ { - 9 } ) }$$

Ebaluatu

$$\frac{881721}{24025000000000000000000000000000}\approx 3.670014568 \cdot 10^{-26}$$

Ebazpidea

Berrekizun bereko berreturak biderkatzeko, gehitu haien berretzaileak. -40 lortzeko, gehitu -31 eta -9.

$$\frac{3^{2}\times \left(6\times 626\times 10^{-34}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

9 lortzeko, egin 3 ber 2.

$$\frac{9\times \left(6\times 626\times 10^{-34}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

3756 lortzeko, biderkatu 6 eta 626.

$$\frac{9\times \left(3756\times 10^{-34}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

\frac{1}{10000000000000000000000000000000000} lortzeko, egin 10 ber -34.

$$\frac{9\times \left(3756\times \frac{1}{10000000000000000000000000000000000}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

\frac{939}{2500000000000000000000000000000000} lortzeko, biderkatu 3756 eta \frac{1}{10000000000000000000000000000000000}.

$$\frac{9\times \left(\frac{939}{2500000000000000000000000000000000}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

\frac{881721}{6250000000000000000000000000000000000000000000000000000000000000000} lortzeko, egin \frac{939}{2500000000000000000000000000000000} ber 2.

$$\frac{9\times \frac{881721}{6250000000000000000000000000000000000000000000000000000000000000000}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} lortzeko, biderkatu 9 eta \frac{881721}{6250000000000000000000000000000000000000000000000000000000000000000}.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

72 lortzeko, biderkatu 8 eta 9.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{72\times 1\times 10^{-40}\times 4805}$$

72 lortzeko, biderkatu 72 eta 1.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{72\times 10^{-40}\times 4805}$$

\frac{1}{10000000000000000000000000000000000000000} lortzeko, egin 10 ber -40.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{72\times \frac{1}{10000000000000000000000000000000000000000}\times 4805}$$

\frac{9}{1250000000000000000000000000000000000000} lortzeko, biderkatu 72 eta \frac{1}{10000000000000000000000000000000000000000}.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{\frac{9}{1250000000000000000000000000000000000000}\times 4805}$$

\frac{8649}{250000000000000000000000000000000000000} lortzeko, biderkatu \frac{9}{1250000000000000000000000000000000000000} eta 4805.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{\frac{8649}{250000000000000000000000000000000000000}}$$

Zatitu \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} balioa \frac{8649}{250000000000000000000000000000000000000} frakzioarekin, \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} balioa \frac{8649}{250000000000000000000000000000000000000} frakzioaren frakzio erreziprokoarekin biderkatuz.

$$\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}\times \frac{250000000000000000000000000000000000000}{8649}$$

\frac{881721}{24025000000000000000000000000000} lortzeko, biderkatu \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} eta \frac{250000000000000000000000000000000000000}{8649}.

$$\frac{881721}{24025000000000000000000000000000}$$

Faktorizatu

$$\frac{3 ^ {2} \cdot 313 ^ {2}}{2 ^ {27} \cdot 5 ^ {29} \cdot 31 ^ {2}} = 3.6700145681581686 \times 10^{-26}$$