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

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

Luacháil

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

Céimeanna Réitigh

Chun cumhachtaí den bhonn céanna a iolrú, suimigh a n-easpónaint. Suimigh -31 agus -9 chun -40 a bhaint amach.

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

Ríomh cumhacht 3 de 2 agus faigh 9.

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

Méadaigh 6 agus 626 chun 3756 a fháil.

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

Ríomh cumhacht 10 de -34 agus faigh \frac{1}{10000000000000000000000000000000000}.

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

Méadaigh 3756 agus \frac{1}{10000000000000000000000000000000000} chun \frac{939}{2500000000000000000000000000000000} a fháil.

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

Ríomh cumhacht \frac{939}{2500000000000000000000000000000000} de 2 agus faigh \frac{881721}{6250000000000000000000000000000000000000000000000000000000000000000}.

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

Méadaigh 9 agus \frac{881721}{6250000000000000000000000000000000000000000000000000000000000000000} chun \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} a fháil.

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

Méadaigh 8 agus 9 chun 72 a fháil.

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

Méadaigh 72 agus 1 chun 72 a fháil.

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

Ríomh cumhacht 10 de -40 agus faigh \frac{1}{10000000000000000000000000000000000000000}.

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

Méadaigh 72 agus \frac{1}{10000000000000000000000000000000000000000} chun \frac{9}{1250000000000000000000000000000000000000} a fháil.

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

Méadaigh \frac{9}{1250000000000000000000000000000000000000} agus 4805 chun \frac{8649}{250000000000000000000000000000000000000} a fháil.

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

Roinn \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} faoi \frac{8649}{250000000000000000000000000000000000000} trí \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} a mhéadú faoi dheilín \frac{8649}{250000000000000000000000000000000000000}.

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

Méadaigh \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} agus \frac{250000000000000000000000000000000000000}{8649} chun \frac{881721}{24025000000000000000000000000000} a fháil.

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

Fachtóirigh

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