Whakaoti i te frac{9*10^{8}*(1.6*10^{-19})^2}{6.67*10^-11*9.1*10^-31*1.66*10^-27}

$$\frac { 9 \times 10 ^ { 8 } \times ( 1.6 \times 10 ^ { - 19 } ) ^ { 2 } } { 6.67 \times 10 ^ { - 11 } \times 9.1 \times 10 ^ { - 31 } \times 1.66 \times 10 ^ { - 27 } }$$

Aromātai

$$\frac{1152000000000000000000000000000000000000000000}{5037851}\approx 2.286689305 \cdot 10^{38}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -11 me te -31 kia riro ai te -42.

$$\frac{9\times 10^{8}\times \left(1.6\times 10^{-19}\right)^{2}}{6.67\times 10^{-42}\times 9.1\times 1.66\times 10^{-27}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -42 me te -27 kia riro ai te -69.

$$\frac{9\times 10^{8}\times \left(1.6\times 10^{-19}\right)^{2}}{6.67\times 10^{-69}\times 9.1\times 1.66}$$

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.

$$\frac{9\times 10^{77}\times \left(1.6\times 10^{-19}\right)^{2}}{1.66\times 6.67\times 9.1}$$

Tātaihia te 10 mā te pū o 77, kia riro ko 100000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{9\times 100000000000000000000000000000000000000000000000000000000000000000000000000000\times \left(1.6\times 10^{-19}\right)^{2}}{1.66\times 6.67\times 9.1}$$

Whakareatia te 9 ki te 100000000000000000000000000000000000000000000000000000000000000000000000000000, ka 900000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{900000000000000000000000000000000000000000000000000000000000000000000000000000\times \left(1.6\times 10^{-19}\right)^{2}}{1.66\times 6.67\times 9.1}$$

Tātaihia te 10 mā te pū o -19, kia riro ko \frac{1}{10000000000000000000}.

$$\frac{900000000000000000000000000000000000000000000000000000000000000000000000000000\times \left(1.6\times \frac{1}{10000000000000000000}\right)^{2}}{1.66\times 6.67\times 9.1}$$

Whakareatia te 1.6 ki te \frac{1}{10000000000000000000}, ka \frac{1}{6250000000000000000}.

$$\frac{900000000000000000000000000000000000000000000000000000000000000000000000000000\times \left(\frac{1}{6250000000000000000}\right)^{2}}{1.66\times 6.67\times 9.1}$$

Tātaihia te \frac{1}{6250000000000000000} mā te pū o 2, kia riro ko \frac{1}{39062500000000000000000000000000000000}.

$$\frac{900000000000000000000000000000000000000000000000000000000000000000000000000000\times \frac{1}{39062500000000000000000000000000000000}}{1.66\times 6.67\times 9.1}$$

Whakareatia te 900000000000000000000000000000000000000000000000000000000000000000000000000000 ki te \frac{1}{39062500000000000000000000000000000000}, ka 23040000000000000000000000000000000000000.

$$\frac{23040000000000000000000000000000000000000}{1.66\times 6.67\times 9.1}$$

Whakareatia te 1.66 ki te 6.67, ka 11.0722.

$$\frac{23040000000000000000000000000000000000000}{11.0722\times 9.1}$$

Whakareatia te 11.0722 ki te 9.1, ka 100.75702.

$$\frac{23040000000000000000000000000000000000000}{100.75702}$$

Whakarohaina te \frac{23040000000000000000000000000000000000000}{100.75702} mā te whakarea i te taurunga me te tauraro ki te 100000.

$$\frac{2304000000000000000000000000000000000000000000}{10075702}$$

Whakahekea te hautanga \frac{2304000000000000000000000000000000000000000000}{10075702} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{1152000000000000000000000000000000000000000000}{5037851}$$

Tauwehe

$$\frac{2 ^ {49} \cdot 3 ^ {2} \cdot 5 ^ {42}}{7 \cdot 13 \cdot 23 \cdot 29 \cdot 83} = 2.2866893046261194 \times 10^{38}\frac{983904}{5037851} = 2.2866893046261194 \times 10^{38}$$