Solve S=2+2^{2}+2^{3}+2^{4}+2^5+2^6+2^7+2^8

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

Solve for S

$$S=510$$

Steps for Solving Linear Equation

Calculate 2 to the power of 2 and get 4.

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

Add 2 and 4 to get 6.

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

Calculate 2 to the power of 3 and get 8.

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

Add 6 and 8 to get 14.

$$S=14+2^{4}+2^{5}+2^{6}+2^{7}+2^{8}$$

Calculate 2 to the power of 4 and get 16.

$$S=14+16+2^{5}+2^{6}+2^{7}+2^{8}$$

Add 14 and 16 to get 30.

$$S=30+2^{5}+2^{6}+2^{7}+2^{8}$$

Calculate 2 to the power of 5 and get 32.

$$S=30+32+2^{6}+2^{7}+2^{8}$$

Add 30 and 32 to get 62.

$$S=62+2^{6}+2^{7}+2^{8}$$

Calculate 2 to the power of 6 and get 64.

$$S=62+64+2^{7}+2^{8}$$

Add 62 and 64 to get 126.

$$S=126+2^{7}+2^{8}$$

Calculate 2 to the power of 7 and get 128.

$$S=126+128+2^{8}$$

Add 126 and 128 to get 254.

$$S=254+2^{8}$$

Calculate 2 to the power of 8 and get 256.

$$S=254+256$$

Add 254 and 256 to get 510.

$$S=510$$

Assign S

$$S≔510$$