3^2+6^2+9^2+12^2+{15}^{2}+{18}^2+{21}^2+{24}^2+{27}^ eching

$${ 3 }^{ 2 } + { 6 }^{ 2 } + { 9 }^{ 2 } + { 12 }^{ 2 } + { 15 }^{ 2 } + { 18 }^{ 2 } + { 21 }^{ 2 } + { 24 }^{ 2 } + { 27 }^{ }$$

Baholash

$$1863$$

Yechim qadamlari

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

$$9+6^{2}+9^{2}+12^{2}+15^{2}+18^{2}+21^{2}+24^{2}+27^{1}$$

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

$$9+36+9^{2}+12^{2}+15^{2}+18^{2}+21^{2}+24^{2}+27^{1}$$

45 olish uchun 9 va 36'ni qo'shing.

$$45+9^{2}+12^{2}+15^{2}+18^{2}+21^{2}+24^{2}+27^{1}$$

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

$$45+81+12^{2}+15^{2}+18^{2}+21^{2}+24^{2}+27^{1}$$

126 olish uchun 45 va 81'ni qo'shing.

$$126+12^{2}+15^{2}+18^{2}+21^{2}+24^{2}+27^{1}$$

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

$$126+144+15^{2}+18^{2}+21^{2}+24^{2}+27^{1}$$

270 olish uchun 126 va 144'ni qo'shing.

$$270+15^{2}+18^{2}+21^{2}+24^{2}+27^{1}$$

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

$$270+225+18^{2}+21^{2}+24^{2}+27^{1}$$

495 olish uchun 270 va 225'ni qo'shing.

$$495+18^{2}+21^{2}+24^{2}+27^{1}$$

2 daraja ko‘rsatkichini 18 ga hisoblang va 324 ni qiymatni oling.

$$495+324+21^{2}+24^{2}+27^{1}$$

819 olish uchun 495 va 324'ni qo'shing.

$$819+21^{2}+24^{2}+27^{1}$$

2 daraja ko‘rsatkichini 21 ga hisoblang va 441 ni qiymatni oling.

$$819+441+24^{2}+27^{1}$$

1260 olish uchun 819 va 441'ni qo'shing.

$$1260+24^{2}+27^{1}$$

2 daraja ko‘rsatkichini 24 ga hisoblang va 576 ni qiymatni oling.

$$1260+576+27^{1}$$

1836 olish uchun 1260 va 576'ni qo'shing.

$$1836+27^{1}$$

1 daraja ko‘rsatkichini 27 ga hisoblang va 27 ni qiymatni oling.

$$1836+27$$

1863 olish uchun 1836 va 27'ni qo'shing.

$$1863$$

Omil

$$3^{4}\times 23$$