Whakaoti i te (9*8/2/5)^3*(5*6/7/63)^5

$$( \frac { \frac { 9 \times 8 } { 2 } } { 5 } ) ^ { 3 } \times ( \frac { \frac { 5 \times 6 } { 7 } } { 63 } ) ^ { 5 }$$

Aromātai

$$\frac{153600}{282475249}\approx 0.000543764$$

Ngā Upane Otinga

Tuhia te \frac{\frac{9\times 8}{2}}{5} hei hautanga kotahi.

$$\left(\frac{9\times 8}{2\times 5}\right)^{3}\times \left(\frac{\frac{5\times 6}{7}}{63}\right)^{5}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$\left(\frac{4\times 9}{5}\right)^{3}\times \left(\frac{\frac{5\times 6}{7}}{63}\right)^{5}$$

Whakareatia te 4 ki te 9, ka 36.

$$\left(\frac{36}{5}\right)^{3}\times \left(\frac{\frac{5\times 6}{7}}{63}\right)^{5}$$

Tātaihia te \frac{36}{5} mā te pū o 3, kia riro ko \frac{46656}{125}.

$$\frac{46656}{125}\times \left(\frac{\frac{5\times 6}{7}}{63}\right)^{5}$$

Tuhia te \frac{\frac{5\times 6}{7}}{63} hei hautanga kotahi.

$$\frac{46656}{125}\times \left(\frac{5\times 6}{7\times 63}\right)^{5}$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{46656}{125}\times \left(\frac{2\times 5}{7\times 21}\right)^{5}$$

Whakareatia te 2 ki te 5, ka 10.

$$\frac{46656}{125}\times \left(\frac{10}{7\times 21}\right)^{5}$$

Whakareatia te 7 ki te 21, ka 147.

$$\frac{46656}{125}\times \left(\frac{10}{147}\right)^{5}$$

Tātaihia te \frac{10}{147} mā te pū o 5, kia riro ko \frac{100000}{68641485507}.

$$\frac{46656}{125}\times \frac{100000}{68641485507}$$

Whakareatia te \frac{46656}{125} ki te \frac{100000}{68641485507}, ka \frac{153600}{282475249}.

$$\frac{153600}{282475249}$$

Tauwehe

$$\frac{2 ^ {11} \cdot 3 \cdot 5 ^ {2}}{7 ^ {10}} = 0.0005437644556249245$$