The solution to 2(-2)^3+2 is -14

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2(-2)^3+2

Solution

2 (- 2)^{3} + 2

- 14

Solution steps

2 (- 2)^{3} + 2

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{3} : - 8

(- 2)^{3}

Apply exponent rule:

(- a)^{n} = - a^{n},

n

is odd

(- 2)^{3} = - 2^{3} = - 8

= - 8

= 2 (- 8) + 2

Multiply and divide (left to right)

2 (- 8) : - 16

2 (- 8)

Apply rule

a \cdot (- b) = - a \cdot b

2 (- 8) = - 2 \cdot 8 = - 16

= - 16

= - 16 + 2

Add and subtract (left to right)

- 16 + 2 : - 14

- 16 + 2

- 16 + 2 = - 14

= - 14

= - 14

5^{2} - 8 \times 2 + 12

2^{2} + 2^{2} + 2^{2}

(8 - 2 \cdot 2 + 30 + 15 \div 3) \div (10 \div 2)

5 \times (12 - 9) + 3 \times (19 - 16)

43 - (- 12) + (- 8) + 40 - 53