Whakaoti i te frac{0,1^{-3}*5^{-2}}{(5/64*0,4^{3})^-2}*((1/5)^-2*0,25^2)^-3

$$\frac { 0,1 ^ { - 3 } \cdot 5 ^ { - 2 } } { ( \frac { 5 } { 64 } \cdot 0,4 ^ { 3 } ) ^ { - 2 } } \cdot ( ( \frac { 1 } { 5 } ) ^ { - 2 } \cdot 0,25 ^ { 2 } ) ^ { - 3 }$$

Aromātai

$$0.000262144$$

Ngā Upane Otinga

Tātaihia te 0.1 mā te pū o -3, kia riro ko 1000.

$$\frac{1000\times 5^{-2}}{\left(\frac{5}{64}\times 0.4^{3}\right)^{-2}}\times \left(\left(\frac{1}{5}\right)^{-2}\times 0.25^{2}\right)^{-3}$$

Tātaihia te 5 mā te pū o -2, kia riro ko \frac{1}{25}.

$$\frac{1000\times \frac{1}{25}}{\left(\frac{5}{64}\times 0.4^{3}\right)^{-2}}\times \left(\left(\frac{1}{5}\right)^{-2}\times 0.25^{2}\right)^{-3}$$

Whakareatia te 1000 ki te \frac{1}{25}, ka 40.

$$\frac{40}{\left(\frac{5}{64}\times 0.4^{3}\right)^{-2}}\times \left(\left(\frac{1}{5}\right)^{-2}\times 0.25^{2}\right)^{-3}$$

Tātaihia te 0.4 mā te pū o 3, kia riro ko 0.064.

$$\frac{40}{\left(\frac{5}{64}\times 0.064\right)^{-2}}\times \left(\left(\frac{1}{5}\right)^{-2}\times 0.25^{2}\right)^{-3}$$

Whakareatia te \frac{5}{64} ki te 0.064, ka \frac{1}{200}.

$$\frac{40}{\left(\frac{1}{200}\right)^{-2}}\times \left(\left(\frac{1}{5}\right)^{-2}\times 0.25^{2}\right)^{-3}$$

Tātaihia te \frac{1}{200} mā te pū o -2, kia riro ko 40000.

$$\frac{40}{40000}\times \left(\left(\frac{1}{5}\right)^{-2}\times 0.25^{2}\right)^{-3}$$

Whakahekea te hautanga \frac{40}{40000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 40.

$$\frac{1}{1000}\times \left(\left(\frac{1}{5}\right)^{-2}\times 0.25^{2}\right)^{-3}$$

Tātaihia te \frac{1}{5} mā te pū o -2, kia riro ko 25.

$$\frac{1}{1000}\times \left(25\times 0.25^{2}\right)^{-3}$$

Tātaihia te 0.25 mā te pū o 2, kia riro ko 0.0625.

$$\frac{1}{1000}\times \left(25\times 0.0625\right)^{-3}$$

Whakareatia te 25 ki te 0.0625, ka 1.5625.

$$\frac{1}{1000}\times 1.5625^{-3}$$

Tātaihia te 1.5625 mā te pū o -3, kia riro ko 0.262144.

$$\frac{1}{1000}\times 0.262144$$

Whakareatia te \frac{1}{1000} ki te 0.262144, ka \frac{512}{1953125}.

$$\frac{512}{1953125}$$

Tauwehe

$$\frac{2 ^ {9}}{5 ^ {9}} = 0.000262144$$