12^4*9^4*4/6^3*8^2*27 eching

$$\frac { 12 ^ { 4 } \times 9 ^ { 4 } \times 4 } { 6 ^ { 3 } \times 8 ^ { 2 } \times 27 }$$

Baholash

$$1458$$

Yechim qadamlari

4 daraja ko‘rsatkichini 12 ga hisoblang va 20736 ni qiymatni oling.

$$\frac{20736\times 9^{4}\times 4}{6^{3}\times 8^{2}\times 27}$$

4 daraja ko‘rsatkichini 9 ga hisoblang va 6561 ni qiymatni oling.

$$\frac{20736\times 6561\times 4}{6^{3}\times 8^{2}\times 27}$$

136048896 hosil qilish uchun 20736 va 6561 ni ko'paytirish.

$$\frac{136048896\times 4}{6^{3}\times 8^{2}\times 27}$$

544195584 hosil qilish uchun 136048896 va 4 ni ko'paytirish.

$$\frac{544195584}{6^{3}\times 8^{2}\times 27}$$

3 daraja ko‘rsatkichini 6 ga hisoblang va 216 ni qiymatni oling.

$$\frac{544195584}{216\times 8^{2}\times 27}$$

2 daraja ko‘rsatkichini 8 ga hisoblang va 64 ni qiymatni oling.

$$\frac{544195584}{216\times 64\times 27}$$

13824 hosil qilish uchun 216 va 64 ni ko'paytirish.

$$\frac{544195584}{13824\times 27}$$

373248 hosil qilish uchun 13824 va 27 ni ko'paytirish.

$$\frac{544195584}{373248}$$

1458 ni olish uchun 544195584 ni 373248 ga bo‘ling.

$$1458$$

Omil

$$2\times 3^{6}$$