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

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

Aromātai

$$-\frac{3}{400000000000000000000}=-7.5 \cdot 10^{-21}$$

Ngā Upane Otinga

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

$$\frac{-19683\times 32^{-2}\left(-8\right)^{4}\times 25^{2}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Tātaihia te 32 mā te pū o -2, kia riro ko \frac{1}{1024}.

$$\frac{-19683\times \frac{1}{1024}\left(-8\right)^{4}\times 25^{2}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

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

$$\frac{-\frac{19683}{1024}\left(-8\right)^{4}\times 25^{2}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Tātaihia te -8 mā te pū o 4, kia riro ko 4096.

$$\frac{-\frac{19683}{1024}\times 4096\times 25^{2}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Whakareatia te -\frac{19683}{1024} ki te 4096, ka -78732.

$$\frac{-78732\times 25^{2}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Tātaihia te 25 mā te pū o 2, kia riro ko 625.

$$\frac{-78732\times 625}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Whakareatia te -78732 ki te 625, ka -49207500.

$$\frac{-49207500}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

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

$$\frac{-49207500}{26873856\left(-50^{3}\right)^{4}}$$

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

$$\frac{-49207500}{26873856\left(-125000\right)^{4}}$$

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

$$\frac{-49207500}{26873856\times 244140625000000000000}$$

Whakareatia te 26873856 ki te 244140625000000000000, ka 6561000000000000000000000000.

$$\frac{-49207500}{6561000000000000000000000000}$$

Whakahekea te hautanga \frac{-49207500}{6561000000000000000000000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 16402500.

$$-\frac{3}{400000000000000000000}$$

Tauwehe

$$-\frac{3}{400000000000000000000} = -7.500000000000002 \times 10^{-21}$$