Whakaoti i te 6*62*6*10^-24/sqrt{2*167*10^-27*81*9*10^-16}

$$\frac { 6 \cdot 62 \cdot 6 \times 10 ^ { - 24 } } { \sqrt { 2 \times 167 \times 10 ^ { - 27 } \times 81 \cdot 9 \times 10 ^ { - 16 } } }$$

Aromātai

$$\frac{31\sqrt{835}}{62625}\approx 0.01430399$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -27 me te -16 kia riro ai te -43.

$$\frac{6\times 62\times 6\times 10^{-24}}{\sqrt{2\times 167\times 10^{-43}\times 81\times 9}}$$

Whakareatia te 6 ki te 62, ka 372.

$$\frac{372\times 6\times 10^{-24}}{\sqrt{2\times 167\times 10^{-43}\times 81\times 9}}$$

Whakareatia te 372 ki te 6, ka 2232.

$$\frac{2232\times 10^{-24}}{\sqrt{2\times 167\times 10^{-43}\times 81\times 9}}$$

Tātaihia te 10 mā te pū o -24, kia riro ko \frac{1}{1000000000000000000000000}.

$$\frac{2232\times \frac{1}{1000000000000000000000000}}{\sqrt{2\times 167\times 10^{-43}\times 81\times 9}}$$

Whakareatia te 2232 ki te \frac{1}{1000000000000000000000000}, ka \frac{279}{125000000000000000000000}.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{2\times 167\times 10^{-43}\times 81\times 9}}$$

Whakareatia te 2 ki te 167, ka 334.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{334\times 10^{-43}\times 81\times 9}}$$

Tātaihia te 10 mā te pū o -43, kia riro ko \frac{1}{10000000000000000000000000000000000000000000}.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{334\times \frac{1}{10000000000000000000000000000000000000000000}\times 81\times 9}}$$

Whakareatia te 334 ki te \frac{1}{10000000000000000000000000000000000000000000}, ka \frac{167}{5000000000000000000000000000000000000000000}.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{\frac{167}{5000000000000000000000000000000000000000000}\times 81\times 9}}$$

Whakareatia te \frac{167}{5000000000000000000000000000000000000000000} ki te 81, ka \frac{13527}{5000000000000000000000000000000000000000000}.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{\frac{13527}{5000000000000000000000000000000000000000000}\times 9}}$$

Whakareatia te \frac{13527}{5000000000000000000000000000000000000000000} ki te 9, ka \frac{121743}{5000000000000000000000000000000000000000000}.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{\frac{121743}{5000000000000000000000000000000000000000000}}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{121743}{5000000000000000000000000000000000000000000}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{121743}}{\sqrt{5000000000000000000000000000000000000000000}}.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{\sqrt{121743}}{\sqrt{5000000000000000000000000000000000000000000}}}$$

Tauwehea te 121743=27^{2}\times 167. Tuhia anō te pūtake rua o te hua \sqrt{27^{2}\times 167} hei hua o ngā pūtake rua \sqrt{27^{2}}\sqrt{167}. Tuhia te pūtakerua o te 27^{2}.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{167}}{\sqrt{5000000000000000000000000000000000000000000}}}$$

Tauwehea te 5000000000000000000000000000000000000000000=1000000000000000000000^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{1000000000000000000000^{2}\times 5} hei hua o ngā pūtake rua \sqrt{1000000000000000000000^{2}}\sqrt{5}. Tuhia te pūtakerua o te 1000000000000000000000^{2}.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{167}}{1000000000000000000000\sqrt{5}}}$$

Whakangāwaritia te tauraro o \frac{27\sqrt{167}}{1000000000000000000000\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{167}\sqrt{5}}{1000000000000000000000\left(\sqrt{5}\right)^{2}}}$$

Ko te pūrua o \sqrt{5} ko 5.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{167}\sqrt{5}}{1000000000000000000000\times 5}}$$

Hei whakarea \sqrt{167} me \sqrt{5}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{835}}{1000000000000000000000\times 5}}$$

Whakareatia te 1000000000000000000000 ki te 5, ka 5000000000000000000000.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{835}}{5000000000000000000000}}$$

Whakawehe \frac{279}{125000000000000000000000} ki te \frac{27\sqrt{835}}{5000000000000000000000} mā te whakarea \frac{279}{125000000000000000000000} ki te tau huripoki o \frac{27\sqrt{835}}{5000000000000000000000}.

$$\frac{279\times 5000000000000000000000}{125000000000000000000000\times 27\sqrt{835}}$$

Me whakakore tahi te 9\times 5000000000000000000000 i te taurunga me te tauraro.

$$\frac{31}{3\times 25\sqrt{835}}$$

Whakangāwaritia te tauraro o \frac{31}{3\times 25\sqrt{835}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{835}.

$$\frac{31\sqrt{835}}{3\times 25\left(\sqrt{835}\right)^{2}}$$

Ko te pūrua o \sqrt{835} ko 835.

$$\frac{31\sqrt{835}}{3\times 25\times 835}$$

Whakareatia te 3 ki te 25, ka 75.

$$\frac{31\sqrt{835}}{75\times 835}$$

Whakareatia te 75 ki te 835, ka 62625.

$$\frac{31\sqrt{835}}{62625}$$