2^{0}+2^{1}+2^{2}+2^{3}+2^{4}+2^5+2^6+2^7+2^8 eching

$$2 ^ { 0 } + 2 ^ { 1 } + 2 ^ { 2 } + 2 ^ { 3 } + 2 ^ { 4 } + 2 ^ { 5 } + 2 ^ { 6 } + 2 ^ { 7 } + 2 ^ { 8 }$$

Baholash

$$511$$

Yechim qadamlari

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

$$1+2^{1}+2^{2}+2^{3}+2^{4}+2^{5}+2^{6}+2^{7}+2^{8}$$

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

$$1+2+2^{2}+2^{3}+2^{4}+2^{5}+2^{6}+2^{7}+2^{8}$$

3 olish uchun 1 va 2'ni qo'shing.

$$3+2^{2}+2^{3}+2^{4}+2^{5}+2^{6}+2^{7}+2^{8}$$

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

$$3+4+2^{3}+2^{4}+2^{5}+2^{6}+2^{7}+2^{8}$$

7 olish uchun 3 va 4'ni qo'shing.

$$7+2^{3}+2^{4}+2^{5}+2^{6}+2^{7}+2^{8}$$

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

$$7+8+2^{4}+2^{5}+2^{6}+2^{7}+2^{8}$$

15 olish uchun 7 va 8'ni qo'shing.

$$15+2^{4}+2^{5}+2^{6}+2^{7}+2^{8}$$

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

$$15+16+2^{5}+2^{6}+2^{7}+2^{8}$$

31 olish uchun 15 va 16'ni qo'shing.

$$31+2^{5}+2^{6}+2^{7}+2^{8}$$

5 daraja ko‘rsatkichini 2 ga hisoblang va 32 ni qiymatni oling.

$$31+32+2^{6}+2^{7}+2^{8}$$

63 olish uchun 31 va 32'ni qo'shing.

$$63+2^{6}+2^{7}+2^{8}$$

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

$$63+64+2^{7}+2^{8}$$

127 olish uchun 63 va 64'ni qo'shing.

$$127+2^{7}+2^{8}$$

7 daraja ko‘rsatkichini 2 ga hisoblang va 128 ni qiymatni oling.

$$127+128+2^{8}$$

255 olish uchun 127 va 128'ni qo'shing.

$$255+2^{8}$$

8 daraja ko‘rsatkichini 2 ga hisoblang va 256 ni qiymatni oling.

$$255+256$$

511 olish uchun 255 va 256'ni qo'shing.

$$511$$

Omil

$$7\times 73$$