(3^4*3^4):21^2:21^2= eching

$$( 3 ^ { 4 } \times 3 ^ { 4 } ) : 21 ^ { 2 } : 21 ^ { 2 } =$$

Baholash

$$\frac{81}{2401}\approx 0,033735943$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 4 ni qo‘shib, 8 ni oling.

$$\frac{\frac{3^{8}}{21^{2}}}{21^{2}}$$

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

$$\frac{\frac{6561}{21^{2}}}{21^{2}}$$

2 daraja ko‘rsatkichini 21 ga hisoblang va 441 ni qiymatni oling.

$$\frac{\frac{6561}{441}}{21^{2}}$$

\frac{6561}{441} ulushini 9 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{729}{49}}{21^{2}}$$

2 daraja ko‘rsatkichini 21 ga hisoblang va 441 ni qiymatni oling.

$$\frac{\frac{729}{49}}{441}$$

\frac{\frac{729}{49}}{441} ni yagona kasrga aylantiring.

$$\frac{729}{49\times 441}$$

21609 hosil qilish uchun 49 va 441 ni ko'paytirish.

$$\frac{729}{21609}$$

\frac{729}{21609} ulushini 9 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{81}{2401}$$

Omil

$$\frac{3 ^ {4}}{7 ^ {4}} = 0,03373594335693461$$