25^2*4^7/2^9*5^4 eching

$$\frac { 25 ^ { 2 } \cdot 4 ^ { 7 } } { 2 ^ { 9 } \cdot 5 ^ { 4 } }$$

Baholash

$$32$$

Yechim qadamlari

2 daraja ko‘rsatkichini 25 ga hisoblang va 625 ni qiymatni oling.

$$\frac{625\times 4^{7}}{2^{9}\times 5^{4}}$$

7 daraja ko‘rsatkichini 4 ga hisoblang va 16384 ni qiymatni oling.

$$\frac{625\times 16384}{2^{9}\times 5^{4}}$$

10240000 hosil qilish uchun 625 va 16384 ni ko'paytirish.

$$\frac{10240000}{2^{9}\times 5^{4}}$$

9 daraja ko‘rsatkichini 2 ga hisoblang va 512 ni qiymatni oling.

$$\frac{10240000}{512\times 5^{4}}$$

4 daraja ko‘rsatkichini 5 ga hisoblang va 625 ni qiymatni oling.

$$\frac{10240000}{512\times 625}$$

320000 hosil qilish uchun 512 va 625 ni ko'paytirish.

$$\frac{10240000}{320000}$$

32 ni olish uchun 10240000 ni 320000 ga bo‘ling.

$$32$$

Omil

$$2^{5}$$