10+10/1046035+10/(1046035)^2+10/(1046035)^3= eching

$$10 + \frac { 10 } { 1046035 } + \frac { 10 } { ( 1046035 ) ^ { 2 } } + \frac { 10 } { ( 1046035 ) ^ { 3 } } =$$

Baholash

$$\frac{2289122632428720272}{228912044404818575}\approx 10,00000956$$

Yechim qadamlari

\frac{10}{1046035} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$10+\frac{2}{209207}+\frac{10}{1046035^{2}}+\frac{10}{1046035^{3}}$$

10 ni \frac{2092070}{209207} kasrga o‘giring.

$$\frac{2092070}{209207}+\frac{2}{209207}+\frac{10}{1046035^{2}}+\frac{10}{1046035^{3}}$$

\frac{2092070}{209207} va \frac{2}{209207} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{2092070+2}{209207}+\frac{10}{1046035^{2}}+\frac{10}{1046035^{3}}$$

2092072 olish uchun 2092070 va 2'ni qo'shing.

$$\frac{2092072}{209207}+\frac{10}{1046035^{2}}+\frac{10}{1046035^{3}}$$

2 daraja ko‘rsatkichini 1046035 ga hisoblang va 1094189221225 ni qiymatni oling.

$$\frac{2092072}{209207}+\frac{10}{1094189221225}+\frac{10}{1046035^{3}}$$

\frac{10}{1094189221225} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2092072}{209207}+\frac{2}{218837844245}+\frac{10}{1046035^{3}}$$

209207 va 218837844245 ning eng kichik umumiy karralisi 218837844245 ga teng. \frac{2092072}{209207} va \frac{2}{218837844245} ni 218837844245 maxraj bilan kasrlarga aylantirib oling.

$$\frac{2188380534520}{218837844245}+\frac{2}{218837844245}+\frac{10}{1046035^{3}}$$

\frac{2188380534520}{218837844245} va \frac{2}{218837844245} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{2188380534520+2}{218837844245}+\frac{10}{1046035^{3}}$$

2188380534522 olish uchun 2188380534520 va 2'ni qo'shing.

$$\frac{2188380534522}{218837844245}+\frac{10}{1046035^{3}}$$

3 daraja ko‘rsatkichini 1046035 ga hisoblang va 1144560222024092875 ni qiymatni oling.

$$\frac{2188380534522}{218837844245}+\frac{10}{1144560222024092875}$$

\frac{10}{1144560222024092875} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2188380534522}{218837844245}+\frac{2}{228912044404818575}$$

218837844245 va 228912044404818575 ning eng kichik umumiy karralisi 228912044404818575 ga teng. \frac{2188380534522}{218837844245} va \frac{2}{228912044404818575} ni 228912044404818575 maxraj bilan kasrlarga aylantirib oling.

$$\frac{2289122632428720270}{228912044404818575}+\frac{2}{228912044404818575}$$

\frac{2289122632428720270}{228912044404818575} va \frac{2}{228912044404818575} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{2289122632428720270+2}{228912044404818575}$$

2289122632428720272 olish uchun 2289122632428720270 va 2'ni qo'shing.

$$\frac{2289122632428720272}{228912044404818575}$$

Omil

$$\frac{2 ^ {4} \cdot 261509 \cdot 547094610613}{5 ^ {2} \cdot 131 ^ {3} \cdot 1597 ^ {3}} = 10\frac{2188380534784}{2,289120444048186 \times 10^{17}} = 10,000009559918704$$