Whakaoti i te frac{(-27)^{3}(32)^{-5}(-8)^{5}(25^{2})^-6}{(-72)^4(-50^3)^4}

$$\frac { ( - 27 ) ^ { 3 } ( 32 ) ^ { - 5 } ( - 8 ) ^ { 5 } ( 25 ^ { 2 } ) ^ { - 6 } } { ( - 72 ) ^ { 4 } ( - 50 ^ { 3 } ) ^ { 4 } }$$

Aromātai

$$\frac{3}{61035156250000000000000000000000000000000000}=4.9152 \cdot 10^{-44}$$

Ngā Upane Otinga

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te -6 kia riro ai te -12.

$$\frac{\left(-27\right)^{3}\times 32^{-5}\left(-8\right)^{5}\times 25^{-12}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Tātaihia te -27 mā te pū o 3, kia riro ko -19683.

$$\frac{-19683\times 32^{-5}\left(-8\right)^{5}\times 25^{-12}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Tātaihia te 32 mā te pū o -5, kia riro ko \frac{1}{33554432}.

$$\frac{-19683\times \frac{1}{33554432}\left(-8\right)^{5}\times 25^{-12}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Whakareatia te -19683 ki te \frac{1}{33554432}, ka -\frac{19683}{33554432}.

$$\frac{-\frac{19683}{33554432}\left(-8\right)^{5}\times 25^{-12}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Tātaihia te -8 mā te pū o 5, kia riro ko -32768.

$$\frac{-\frac{19683}{33554432}\left(-32768\right)\times 25^{-12}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Whakareatia te -\frac{19683}{33554432} ki te -32768, ka \frac{19683}{1024}.

$$\frac{\frac{19683}{1024}\times 25^{-12}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Tātaihia te 25 mā te pū o -12, kia riro ko \frac{1}{59604644775390625}.

$$\frac{\frac{19683}{1024}\times \frac{1}{59604644775390625}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Whakareatia te \frac{19683}{1024} ki te \frac{1}{59604644775390625}, ka \frac{19683}{61035156250000000000}.

$$\frac{\frac{19683}{61035156250000000000}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Tātaihia te -72 mā te pū o 4, kia riro ko 26873856.

$$\frac{\frac{19683}{61035156250000000000}}{26873856\left(-50^{3}\right)^{4}}$$

Tātaihia te 50 mā te pū o 3, kia riro ko 125000.

$$\frac{\frac{19683}{61035156250000000000}}{26873856\left(-125000\right)^{4}}$$

Tātaihia te -125000 mā te pū o 4, kia riro ko 244140625000000000000.

$$\frac{\frac{19683}{61035156250000000000}}{26873856\times 244140625000000000000}$$

Whakareatia te 26873856 ki te 244140625000000000000, ka 6561000000000000000000000000.

$$\frac{\frac{19683}{61035156250000000000}}{6561000000000000000000000000}$$

Tuhia te \frac{\frac{19683}{61035156250000000000}}{6561000000000000000000000000} hei hautanga kotahi.

$$\frac{19683}{61035156250000000000\times 6561000000000000000000000000}$$

Whakareatia te 61035156250000000000 ki te 6561000000000000000000000000, ka 400451660156250000000000000000000000000000000000.

$$\frac{19683}{400451660156250000000000000000000000000000000000}$$

Whakahekea te hautanga \frac{19683}{400451660156250000000000000000000000000000000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6561.

$$\frac{3}{61035156250000000000000000000000000000000000}$$

Tauwehe

$$\frac{3}{2 ^ {34} \cdot 5 ^ {48}} = 4.9152000000000005 \times 10^{-44}$$