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

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

Baholash

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

Yechim qadamlari

\frac{\frac{9\times 8}{2}}{5} ni yagona kasrga aylantiring.

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

Surat va maxrajdagi ikkala 2 ni qisqartiring.

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

36 hosil qilish uchun 4 va 9 ni ko'paytirish.

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

3 daraja ko‘rsatkichini \frac{36}{5} ga hisoblang va \frac{46656}{125} ni qiymatni oling.

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

\frac{\frac{5\times 6}{7}}{63} ni yagona kasrga aylantiring.

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

Surat va maxrajdagi ikkala 3 ni qisqartiring.

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

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

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

147 hosil qilish uchun 7 va 21 ni ko'paytirish.

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

5 daraja ko‘rsatkichini \frac{10}{147} ga hisoblang va \frac{100000}{68641485507} ni qiymatni oling.

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

\frac{153600}{282475249} hosil qilish uchun \frac{46656}{125} va \frac{100000}{68641485507} ni ko'paytirish.

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

Omil

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