frac{2^{4}*5^{6}(6^6-3^8)}{11*5^7*2^4} eching

$$\frac { 2 ^ { 4 } \cdot 5 ^ { 6 } ( 6 ^ { 6 } - 3 ^ { 8 } ) } { 11 \cdot 5 ^ { 7 } \cdot 2 ^ { 4 } }$$

Baholash

$$729$$

Yechim qadamlari

Surat va maxrajdagi ikkala 2^{4}\times 5^{6} ni qisqartiring.

$$\frac{6^{6}-3^{8}}{5\times 11}$$

6 daraja ko‘rsatkichini 6 ga hisoblang va 46656 ni qiymatni oling.

$$\frac{46656-3^{8}}{5\times 11}$$

8 daraja ko‘rsatkichini 3 ga hisoblang va 6561 ni qiymatni oling.

$$\frac{46656-6561}{5\times 11}$$

40095 olish uchun 46656 dan 6561 ni ayirish.

$$\frac{40095}{5\times 11}$$

55 hosil qilish uchun 5 va 11 ni ko'paytirish.

$$\frac{40095}{55}$$

729 ni olish uchun 40095 ni 55 ga bo‘ling.

$$729$$

Omil

$$3^{6}$$