Whakaoti i te [frac{((2^{3})(2^{6}))^{-2}(3^{4})^{3}(3)}{((2^{6})(2^{10}))^{-1}(3^6)(3^2)(3^5)}]^10

$$[ \frac { ( ( 2 ^ { 3 } ) ( 2 ^ { 6 } ) ) ^ { - 2 } ( 3 ^ { 4 } ) ^ { 3 } ( 3 ) } { ( ( 2 ^ { 6 } ) ( 2 ^ { 10 } ) ) ^ { - 1 } ( 3 ^ { 6 } ) ( 3 ^ { 2 } ) ( 3 ^ { 5 } ) } ] ^ { 10 }$$

Aromātai

$$\frac{1}{1048576}\approx 0.000000954$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 6 kia riro ai te 9.

$$\left(\frac{\left(2^{9}\right)^{-2}\times \left(3^{4}\right)^{3}\times 3}{\left(2^{6}\times 2^{10}\right)^{-1}\times 3^{6}\times 3^{2}\times 3^{5}}\right)^{10}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 9 me te -2 kia riro ai te -18.

$$\left(\frac{2^{-18}\times \left(3^{4}\right)^{3}\times 3}{\left(2^{6}\times 2^{10}\right)^{-1}\times 3^{6}\times 3^{2}\times 3^{5}}\right)^{10}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 4 me te 3 kia riro ai te 12.

$$\left(\frac{2^{-18}\times 3^{12}\times 3}{\left(2^{6}\times 2^{10}\right)^{-1}\times 3^{6}\times 3^{2}\times 3^{5}}\right)^{10}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 12 me te 1 kia riro ai te 13.

$$\left(\frac{2^{-18}\times 3^{13}}{\left(2^{6}\times 2^{10}\right)^{-1}\times 3^{6}\times 3^{2}\times 3^{5}}\right)^{10}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 6 me te 10 kia riro ai te 16.

$$\left(\frac{2^{-18}\times 3^{13}}{\left(2^{16}\right)^{-1}\times 3^{6}\times 3^{2}\times 3^{5}}\right)^{10}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 16 me te -1 kia riro ai te -16.

$$\left(\frac{2^{-18}\times 3^{13}}{2^{-16}\times 3^{6}\times 3^{2}\times 3^{5}}\right)^{10}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 6 me te 2 kia riro ai te 8.

$$\left(\frac{2^{-18}\times 3^{13}}{2^{-16}\times 3^{8}\times 3^{5}}\right)^{10}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 8 me te 5 kia riro ai te 13.

$$\left(\frac{2^{-18}\times 3^{13}}{2^{-16}\times 3^{13}}\right)^{10}$$

Me whakakore tahi te 3^{13} i te taurunga me te tauraro.

$$\left(\frac{2^{-18}}{2^{-16}}\right)^{10}$$

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

$$\left(\frac{1}{2^{2}}\right)^{10}$$

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

$$\left(\frac{1}{4}\right)^{10}$$

Tātaihia te \frac{1}{4} mā te pū o 10, kia riro ko \frac{1}{1048576}.

$$\frac{1}{1048576}$$

Tauwehe

$$\frac{1}{2 ^ {20}} = 9.5367431640625 \times 10^{-7}$$