The solution to -2(-2)^2-2 is -10

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-2(-2)^2-2

Solution

- 2 (- 2)^{2} - 2

- 10

Solution steps

- 2 (- 2)^{2} - 2

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

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

n

is even

(- 2)^{2} = 2^{2} = 4

= 4

= - 2 \cdot 4 - 2

Multiply and divide (left to right)

- 2 \cdot 4 : - 8

- 2 \cdot 4

- 2 \cdot 4 = - 8

= - 8

= - 8 - 2

Add and subtract (left to right)

- 8 - 2 : - 10

- 8 - 2

- 8 - 2 = - 10

= - 10

= - 10

16 - 3 + 4 (2) - 2

2^{3} - 2^{2} - 2 + 2

32 - 6 + 4 - (3^{2} - 4 + 8^{2})^{2}

12 (7)^{2} - 14 (7)

801 \cdot (1 + \frac{1}{3})