9^3*27^4*3^-7/frac{1{3}*243^2} eching

$$\frac { 9 ^ { 3 } \cdot 27 ^ { 4 } \cdot 3 ^ { - 7 } } { \frac { 1 } { 3 } \cdot 243 ^ { 2 } }$$

Baholash

$$9$$

Yechim qadamlari

3 daraja ko‘rsatkichini 9 ga hisoblang va 729 ni qiymatni oling.

$$\frac{729\times 27^{4}\times 3^{-7}}{\frac{1}{3}\times 243^{2}}$$

4 daraja ko‘rsatkichini 27 ga hisoblang va 531441 ni qiymatni oling.

$$\frac{729\times 531441\times 3^{-7}}{\frac{1}{3}\times 243^{2}}$$

387420489 hosil qilish uchun 729 va 531441 ni ko'paytirish.

$$\frac{387420489\times 3^{-7}}{\frac{1}{3}\times 243^{2}}$$

-7 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{2187} ni qiymatni oling.

$$\frac{387420489\times \frac{1}{2187}}{\frac{1}{3}\times 243^{2}}$$

177147 hosil qilish uchun 387420489 va \frac{1}{2187} ni ko'paytirish.

$$\frac{177147}{\frac{1}{3}\times 243^{2}}$$

2 daraja ko‘rsatkichini 243 ga hisoblang va 59049 ni qiymatni oling.

$$\frac{177147}{\frac{1}{3}\times 59049}$$

19683 hosil qilish uchun \frac{1}{3} va 59049 ni ko'paytirish.

$$\frac{177147}{19683}$$

9 ni olish uchun 177147 ni 19683 ga bo‘ling.

$$9$$

Omil

$$3^{2}$$