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

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

Arvuta

$$\frac{153600}{282475249}\approx 0,000543764$$

Lahenduse etapid

Avaldage \frac{\frac{9\times 8}{2}}{5} ühe murdarvuna.

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

Taandage 2 nii lugejas kui ka nimetajas.

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

Korrutage 4 ja 9, et leida 36.

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

Arvutage 3 aste \frac{36}{5} ja leidke \frac{46656}{125}.

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

Avaldage \frac{\frac{5\times 6}{7}}{63} ühe murdarvuna.

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

Taandage 3 nii lugejas kui ka nimetajas.

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

Korrutage 2 ja 5, et leida 10.

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

Korrutage 7 ja 21, et leida 147.

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

Arvutage 5 aste \frac{10}{147} ja leidke \frac{100000}{68641485507}.

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

Korrutage \frac{46656}{125} ja \frac{100000}{68641485507}, et leida \frac{153600}{282475249}.

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

Lahuta teguriteks

$$\frac{2 ^ {11} \cdot 3 \cdot 5 ^ {2}}{7 ^ {10}} = 0,0005437644556249245$$