7^2(1^2+2^2+3^2+{4}^{2}+{5}^{2}+{6}^{2}+{7}^{2}+{8}^{2}+{9}^{2}+{10}^{2}+{11}^{2}+{12}^2+{13}^2+{14}^2+{15}^2) eching

$${ 7 }^{ 2 } ( { 1 }^{ 2 } + { 2 }^{ 2 } + { 3 }^{ 2 } + { 4 }^{ 2 } + { 5 }^{ 2 } + { 6 }^{ 2 } + { 7 }^{ 2 } + { 8 }^{ 2 } + { 9 }^{ 2 } + { 10 }^{ 2 } + { 11 }^{ 2 } + { 12 }^{ 2 } + { 13 }^{ 2 } + { 14 }^{ 2 } + { 15 }^{ 2 } )$$

Baholash

$$60760$$

Yechim qadamlari

2 daraja ko‘rsatkichini 7 ga hisoblang va 49 ni qiymatni oling.

$$49\left(1^{2}+2^{2}+3^{2}+4^{2}+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$49\left(1+2^{2}+3^{2}+4^{2}+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$49\left(1+4+3^{2}+4^{2}+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

5 olish uchun 1 va 4'ni qo'shing.

$$49\left(5+3^{2}+4^{2}+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

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

$$49\left(5+9+4^{2}+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

14 olish uchun 5 va 9'ni qo'shing.

$$49\left(14+4^{2}+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$49\left(14+16+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

30 olish uchun 14 va 16'ni qo'shing.

$$49\left(30+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$49\left(30+25+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

55 olish uchun 30 va 25'ni qo'shing.

$$49\left(55+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

2 daraja ko‘rsatkichini 6 ga hisoblang va 36 ni qiymatni oling.

$$49\left(55+36+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

91 olish uchun 55 va 36'ni qo'shing.

$$49\left(91+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

2 daraja ko‘rsatkichini 7 ga hisoblang va 49 ni qiymatni oling.

$$49\left(91+49+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

140 olish uchun 91 va 49'ni qo'shing.

$$49\left(140+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

2 daraja ko‘rsatkichini 8 ga hisoblang va 64 ni qiymatni oling.

$$49\left(140+64+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

204 olish uchun 140 va 64'ni qo'shing.

$$49\left(204+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

2 daraja ko‘rsatkichini 9 ga hisoblang va 81 ni qiymatni oling.

$$49\left(204+81+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

285 olish uchun 204 va 81'ni qo'shing.

$$49\left(285+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

2 daraja ko‘rsatkichini 10 ga hisoblang va 100 ni qiymatni oling.

$$49\left(285+100+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

385 olish uchun 285 va 100'ni qo'shing.

$$49\left(385+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

2 daraja ko‘rsatkichini 11 ga hisoblang va 121 ni qiymatni oling.

$$49\left(385+121+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

506 olish uchun 385 va 121'ni qo'shing.

$$49\left(506+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

2 daraja ko‘rsatkichini 12 ga hisoblang va 144 ni qiymatni oling.

$$49\left(506+144+13^{2}+14^{2}+15^{2}\right)$$

650 olish uchun 506 va 144'ni qo'shing.

$$49\left(650+13^{2}+14^{2}+15^{2}\right)$$

2 daraja ko‘rsatkichini 13 ga hisoblang va 169 ni qiymatni oling.

$$49\left(650+169+14^{2}+15^{2}\right)$$

819 olish uchun 650 va 169'ni qo'shing.

$$49\left(819+14^{2}+15^{2}\right)$$

2 daraja ko‘rsatkichini 14 ga hisoblang va 196 ni qiymatni oling.

$$49\left(819+196+15^{2}\right)$$

1015 olish uchun 819 va 196'ni qo'shing.

$$49\left(1015+15^{2}\right)$$

2 daraja ko‘rsatkichini 15 ga hisoblang va 225 ni qiymatni oling.

$$49\left(1015+225\right)$$

1240 olish uchun 1015 va 225'ni qo'shing.

$$49\times 1240$$

60760 hosil qilish uchun 49 va 1240 ni ko'paytirish.

$$60760$$

Omil

$$2^{3}\times 5\times 7^{2}\times 31$$