3^2*4^3div6^4= eching

$$3 ^ { 2 } \times 4 ^ { 3 } \div 6 ^ { 4 } =$$

Baholash

$$\frac{4}{9}\approx 0,444444444$$

Yechim qadamlari

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

$$\frac{9\times 4^{3}}{6^{4}}$$

3 daraja ko‘rsatkichini 4 ga hisoblang va 64 ni qiymatni oling.

$$\frac{9\times 64}{6^{4}}$$

576 hosil qilish uchun 9 va 64 ni ko'paytirish.

$$\frac{576}{6^{4}}$$

4 daraja ko‘rsatkichini 6 ga hisoblang va 1296 ni qiymatni oling.

$$\frac{576}{1296}$$

\frac{576}{1296} ulushini 144 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{4}{9}$$

Omil

$$\frac{2 ^ {2}}{3 ^ {2}} = 0,4444444444444444$$