Solve 1+2+2^{2}+2^{3}+2^{4}+2^{5}+2^{6}+2^3+2^8+2^9+2^10

$$1 + 2 + 2 ^ { 2 } + 2 ^ { 3 } + 2 ^ { 4 } + 2 ^ { 5 } + 2 ^ { 6 } + 2 ^ { 3 } + 2 ^ { 8 } + 2 ^ { 9 } + 2 ^ { 10 }$$

Evaluate

$$1927$$

Solution Steps

Add 1 and 2 to get 3.

$$3+2^{2}+2^{3}+2^{4}+2^{5}+2^{6}+2^{3}+2^{8}+2^{9}+2^{10}$$

Calculate 2 to the power of 2 and get 4.

$$3+4+2^{3}+2^{4}+2^{5}+2^{6}+2^{3}+2^{8}+2^{9}+2^{10}$$

Add 3 and 4 to get 7.

$$7+2^{3}+2^{4}+2^{5}+2^{6}+2^{3}+2^{8}+2^{9}+2^{10}$$

Calculate 2 to the power of 3 and get 8.

$$7+8+2^{4}+2^{5}+2^{6}+2^{3}+2^{8}+2^{9}+2^{10}$$

Add 7 and 8 to get 15.

$$15+2^{4}+2^{5}+2^{6}+2^{3}+2^{8}+2^{9}+2^{10}$$

Calculate 2 to the power of 4 and get 16.

$$15+16+2^{5}+2^{6}+2^{3}+2^{8}+2^{9}+2^{10}$$

Add 15 and 16 to get 31.

$$31+2^{5}+2^{6}+2^{3}+2^{8}+2^{9}+2^{10}$$

Calculate 2 to the power of 5 and get 32.

$$31+32+2^{6}+2^{3}+2^{8}+2^{9}+2^{10}$$

Add 31 and 32 to get 63.

$$63+2^{6}+2^{3}+2^{8}+2^{9}+2^{10}$$

Calculate 2 to the power of 6 and get 64.

$$63+64+2^{3}+2^{8}+2^{9}+2^{10}$$

Add 63 and 64 to get 127.

$$127+2^{3}+2^{8}+2^{9}+2^{10}$$

Calculate 2 to the power of 3 and get 8.

$$127+8+2^{8}+2^{9}+2^{10}$$

Add 127 and 8 to get 135.

$$135+2^{8}+2^{9}+2^{10}$$

Calculate 2 to the power of 8 and get 256.

$$135+256+2^{9}+2^{10}$$

Add 135 and 256 to get 391.

$$391+2^{9}+2^{10}$$

Calculate 2 to the power of 9 and get 512.

$$391+512+2^{10}$$

Add 391 and 512 to get 903.

$$903+2^{10}$$

Calculate 2 to the power of 10 and get 1024.

$$903+1024$$

Add 903 and 1024 to get 1927.

$$1927$$

Factor

$$41\times 47$$