(5.2)^4*(10.3)^3/(9.9)^2 eching

$$\frac { ( 5.2 ) ^ { 4 } \cdot ( 10.3 ) ^ { 3 } } { ( 9.9 ) ^ { 2 } }$$

Baholash

$$\frac{249675006776}{30628125}\approx 8151,821463965$$

Yechim qadamlari

4 daraja ko‘rsatkichini 5,2 ga hisoblang va 731,1616 ni qiymatni oling.

$$\frac{731,1616\times 10,3^{3}}{9,9^{2}}$$

3 daraja ko‘rsatkichini 10,3 ga hisoblang va 1092,727 ni qiymatni oling.

$$\frac{731,1616\times 1092,727}{9,9^{2}}$$

798960,0216832 hosil qilish uchun 731,1616 va 1092,727 ni ko'paytirish.

$$\frac{798960,0216832}{9,9^{2}}$$

2 daraja ko‘rsatkichini 9,9 ga hisoblang va 98,01 ni qiymatni oling.

$$\frac{798960,0216832}{98,01}$$

\frac{798960,0216832}{98,01} kasrini uning surat va maxrajini 10000000 ga ko‘paytirish bilan kengaytiring.

$$\frac{7989600216832}{980100000}$$

\frac{7989600216832}{980100000} ulushini 32 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{249675006776}{30628125}$$

Omil

$$\frac{2 ^ {3} \cdot 13 ^ {4} \cdot 103 ^ {3}}{3 ^ {4} \cdot 5 ^ {5} \cdot 11 ^ {2}} = 8151\frac{25159901}{30628125} = 8151,821463964901$$