(228*10^11)^3/(594*10^7)^2 eching

$$\frac { ( 228 \times 10 ^ { 11 } ) ^ { 3 } } { ( 594 \times 10 ^ { 7 } ) ^ { 2 } }$$

Baholash

$$\frac{1097440000000000000000000}{3267}\approx 3,359167432 \cdot 10^{20}$$

Yechim qadamlari

11 daraja ko‘rsatkichini 10 ga hisoblang va 100000000000 ni qiymatni oling.

$$\frac{\left(228\times 100000000000\right)^{3}}{\left(594\times 10^{7}\right)^{2}}$$

22800000000000 hosil qilish uchun 228 va 100000000000 ni ko'paytirish.

$$\frac{22800000000000^{3}}{\left(594\times 10^{7}\right)^{2}}$$

3 daraja ko‘rsatkichini 22800000000000 ga hisoblang va 11852352000000000000000000000000000000000 ni qiymatni oling.

$$\frac{11852352000000000000000000000000000000000}{\left(594\times 10^{7}\right)^{2}}$$

7 daraja ko‘rsatkichini 10 ga hisoblang va 10000000 ni qiymatni oling.

$$\frac{11852352000000000000000000000000000000000}{\left(594\times 10000000\right)^{2}}$$

5940000000 hosil qilish uchun 594 va 10000000 ni ko'paytirish.

$$\frac{11852352000000000000000000000000000000000}{5940000000^{2}}$$

2 daraja ko‘rsatkichini 5940000000 ga hisoblang va 35283600000000000000 ni qiymatni oling.

$$\frac{11852352000000000000000000000000000000000}{35283600000000000000}$$

\frac{11852352000000000000000000000000000000000}{35283600000000000000} ulushini 10800000000000000 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1097440000000000000000000}{3267}$$

Omil

$$\frac{2 ^ {23} \cdot 5 ^ {19} \cdot 19 ^ {3}}{3 ^ {3} \cdot 11 ^ {2}} = 3,3591674318947042 \times 10^{20}\frac{1353}{3267} = 3,3591674318947042 \times 10^{20}$$