What is 2+2^1+2^2+2^3+2^4+2^5 ?

The solution to 2+2^1+2^2+2^3+2^4+2^5 is 64

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2+2^1+2^2+2^3+2^4+2^5

2 + 2^{1} + 2^{2} + 2^{3} + 2^{4} + 2^{5}

64

Solution steps

2 + 2^{1} + 2^{2} + 2^{3} + 2^{4} + 2^{5}

Follow the PEMDAS order of operations

Calculate exponents

2^{1} : 2

2^{1}

2^{1} = 2

= 2

= 2 + 2 + 2^{2} + 2^{3} + 2^{4} + 2^{5}

Calculate exponents

2^{2} : 4

2^{2}

2^{2} = 4

= 4

= 2 + 2 + 4 + 2^{3} + 2^{4} + 2^{5}

Calculate exponents

2^{3} : 8

2^{3}

2^{3} = 8

= 8

= 2 + 2 + 4 + 8 + 2^{4} + 2^{5}

Calculate exponents

2^{4} : 16

2^{4}

2^{4} = 16

= 16

= 2 + 2 + 4 + 8 + 16 + 2^{5}

Calculate exponents

2^{5} : 32

2^{5}

2^{5} = 32

= 32

= 2 + 2 + 4 + 8 + 16 + 32

Add and subtract (left to right)

2 + 2 + 4 + 8 + 16 + 32 : 64

2 + 2 + 4 + 8 + 16 + 32

2 + 2 = 4

= 4 + 4 + 8 + 16 + 32

4 + 4 = 8

= 8 + 8 + 16 + 32

8 + 8 = 16

= 16 + 16 + 32

16 + 16 = 32

= 32 + 32

32 + 32 = 64

= 64

= 64

- 2 (5) + 2

- 2 (5) + 3

- 4 \times 1 + 4

4 (- 2) (- 5) - (4)^{2} \div 4 (- 2)

- 66 + \frac{45}{5} - 81