(38*10^8)^3/(273*24*3600)^2= eching

$$\frac { ( 38 \times 10 ^ { 8 } ) ^ { 3 } } { ( 273 \times 24 \times 3600 ) ^ { 2 } } =$$

Baholash

$$\frac{5358593750000000000000}{54331641}\approx 9,862749682 \cdot 10^{13}$$

Yechim qadamlari

8 daraja ko‘rsatkichini 10 ga hisoblang va 100000000 ni qiymatni oling.

$$\frac{\left(38\times 100000000\right)^{3}}{\left(273\times 24\times 3600\right)^{2}}$$

3800000000 hosil qilish uchun 38 va 100000000 ni ko'paytirish.

$$\frac{3800000000^{3}}{\left(273\times 24\times 3600\right)^{2}}$$

3 daraja ko‘rsatkichini 3800000000 ga hisoblang va 54872000000000000000000000000 ni qiymatni oling.

$$\frac{54872000000000000000000000000}{\left(273\times 24\times 3600\right)^{2}}$$

6552 hosil qilish uchun 273 va 24 ni ko'paytirish.

$$\frac{54872000000000000000000000000}{\left(6552\times 3600\right)^{2}}$$

23587200 hosil qilish uchun 6552 va 3600 ni ko'paytirish.

$$\frac{54872000000000000000000000000}{23587200^{2}}$$

2 daraja ko‘rsatkichini 23587200 ga hisoblang va 556356003840000 ni qiymatni oling.

$$\frac{54872000000000000000000000000}{556356003840000}$$

\frac{54872000000000000000000000000}{556356003840000} ulushini 10240000 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5358593750000000000000}{54331641}$$

Omil

$$\frac{2 ^ {13} \cdot 5 ^ {20} \cdot 19 ^ {3}}{3 ^ {8} \cdot 7 ^ {2} \cdot 13 ^ {2}} = 98627496820867\frac{13150357}{54331641} = 98627496820867,23$$