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

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

Aromātai

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

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.

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

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.

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

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

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

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

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

Whakareatia te 9 ki te 100000000000000000000000000000000000000000000000000000000000000000000000000000, ka 900000000000000000000000000000000000000000000000000000000000000000000000000000.

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

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

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

Whakareatia te 16 ki te \frac{1}{10000000000000000000}, ka \frac{1}{625000000000000000}.

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

Tātaihia te \frac{1}{625000000000000000} mā te pū o 2, kia riro ko \frac{1}{390625000000000000000000000000000000}.

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

Whakareatia te 900000000000000000000000000000000000000000000000000000000000000000000000000000 ki te \frac{1}{390625000000000000000000000000000000}, ka 2304000000000000000000000000000000000000000.

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

Whakareatia te 91 ki te 166, ka 15106.

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

Whakareatia te 15106 ki te 667, ka 10075702.

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

Whakahekea te hautanga \frac{2304000000000000000000000000000000000000000}{10075702} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

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

Tauwehe

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