Lutasin ang (9*8/2/5)^3*(5*6/7/63)^5

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

I-evaluate

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

Mga Hakbang ng Solution

Ipakita ang \frac{\frac{9\times 8}{2}}{5} bilang isang single fraction.

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

I-cancel out ang 2 sa parehong numerator at denominator.

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

I-multiply ang 4 at 9 para makuha ang 36.

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

Kalkulahin ang \frac{36}{5} sa power ng 3 at kunin ang \frac{46656}{125}.

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

Ipakita ang \frac{\frac{5\times 6}{7}}{63} bilang isang single fraction.

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

I-cancel out ang 3 sa parehong numerator at denominator.

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

I-multiply ang 2 at 5 para makuha ang 10.

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

I-multiply ang 7 at 21 para makuha ang 147.

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

Kalkulahin ang \frac{10}{147} sa power ng 5 at kunin ang \frac{100000}{68641485507}.

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

I-multiply ang \frac{46656}{125} at \frac{100000}{68641485507} para makuha ang \frac{153600}{282475249}.

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

I-factor

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