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

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

Luacháil

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

Céimeanna Réitigh

Chun cumhachtaí den bhonn céanna a iolrú, suimigh a n-easpónaint. Suimigh -11 agus -31 chun -42 a bhaint amach.

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

Chun cumhachtaí den bhonn céanna a iolrú, suimigh a n-easpónaint. Suimigh -42 agus -27 chun -69 a bhaint amach.

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

Chun cumhachtaí den bhonn chéanna a roinnt, dealaigh easpónant an ainmneora ó easpónant an uimhreora.

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

Ríomh cumhacht 10 de 77 agus faigh 100000000000000000000000000000000000000000000000000000000000000000000000000000.

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

Méadaigh 9 agus 100000000000000000000000000000000000000000000000000000000000000000000000000000 chun 900000000000000000000000000000000000000000000000000000000000000000000000000000 a fháil.

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

Ríomh cumhacht 10 de -19 agus faigh \frac{1}{10000000000000000000}.

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

Méadaigh 16 agus \frac{1}{10000000000000000000} chun \frac{1}{625000000000000000} a fháil.

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

Ríomh cumhacht \frac{1}{625000000000000000} de 2 agus faigh \frac{1}{390625000000000000000000000000000000}.

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

Méadaigh 900000000000000000000000000000000000000000000000000000000000000000000000000000 agus \frac{1}{390625000000000000000000000000000000} chun 2304000000000000000000000000000000000000000 a fháil.

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

Méadaigh 91 agus 166 chun 15106 a fháil.

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

Méadaigh 15106 agus 667 chun 10075702 a fháil.

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

Laghdaigh an codán \frac{2304000000000000000000000000000000000000000}{10075702} chuig na téarmaí is ísle trí 2 a bhaint agus a chealú.

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

Fachtóirigh

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