Whakaoti i te (2/5^{2})^{2}(6^2/2^2*(2/3)^-1)^-2

$$( \frac { 2 } { 5 ^ { 2 } } ) ^ { 2 } ( \frac { 6 ^ { 2 } } { 2 ^ { 2 } } \cdot ( \frac { 2 } { 3 } ) ^ { - 1 } ) ^ { - 2 }$$

Aromātai

$$\frac{16}{455625}\approx 0.000035117$$

Ngā Upane Otinga

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$\left(\frac{2}{25}\right)^{2}\times \left(\frac{6^{2}}{2^{2}}\times \left(\frac{2}{3}\right)^{-1}\right)^{-2}$$

Tātaihia te \frac{2}{25} mā te pū o 2, kia riro ko \frac{4}{625}.

$$\frac{4}{625}\times \left(\frac{6^{2}}{2^{2}}\times \left(\frac{2}{3}\right)^{-1}\right)^{-2}$$

Tātaihia te 6 mā te pū o 2, kia riro ko 36.

$$\frac{4}{625}\times \left(\frac{36}{2^{2}}\times \left(\frac{2}{3}\right)^{-1}\right)^{-2}$$

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

$$\frac{4}{625}\times \left(\frac{36}{4}\times \left(\frac{2}{3}\right)^{-1}\right)^{-2}$$

Whakawehea te 36 ki te 4, kia riro ko 9.

$$\frac{4}{625}\times \left(9\times \left(\frac{2}{3}\right)^{-1}\right)^{-2}$$

Tātaihia te \frac{2}{3} mā te pū o -1, kia riro ko \frac{3}{2}.

$$\frac{4}{625}\times \left(9\times \frac{3}{2}\right)^{-2}$$

Whakareatia te 9 ki te \frac{3}{2}, ka \frac{27}{2}.

$$\frac{4}{625}\times \left(\frac{27}{2}\right)^{-2}$$

Tātaihia te \frac{27}{2} mā te pū o -2, kia riro ko \frac{4}{729}.

$$\frac{4}{625}\times \frac{4}{729}$$

Whakareatia te \frac{4}{625} ki te \frac{4}{729}, ka \frac{16}{455625}.

$$\frac{16}{455625}$$

Tauwehe

$$\frac{2 ^ {4}}{3 ^ {6} \cdot 5 ^ {4}} = 3.511659807956104 \times 10^{-5}$$