Rešite (9*8/2/5)^3*(5*6/7/63)^5

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

Ovrednoti

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

Koraki rešitve

Izrazite \frac{\frac{9\times 8}{2}}{5} kot enojni ulomek.

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

Okrajšaj 2 v števcu in imenovalcu.

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

Pomnožite 4 in 9, da dobite 36.

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

Izračunajte potenco \frac{36}{5} števila 3, da dobite \frac{46656}{125}.

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

Izrazite \frac{\frac{5\times 6}{7}}{63} kot enojni ulomek.

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

Okrajšaj 3 v števcu in imenovalcu.

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

Pomnožite 2 in 5, da dobite 10.

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

Pomnožite 7 in 21, da dobite 147.

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

Izračunajte potenco \frac{10}{147} števila 5, da dobite \frac{100000}{68641485507}.

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

Pomnožite \frac{46656}{125} in \frac{100000}{68641485507}, da dobite \frac{153600}{282475249}.

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

Faktoriziraj

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