What is -(-2)^2-8(-2)+19 ?

The solution to -(-2)^2-8(-2)+19 is 31

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-(-2)^2-8(-2)+19

- (- 2)^{2} - 8 (- 2) + 19

31

Solution steps

- (- 2)^{2} - 8 (- 2) + 19

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

= - 4 - 8 (- 2) + 19

Multiply and divide (left to right)

8 (- 2) : - 16

8 (- 2)

Apply rule

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

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

= - 16

= - 4 - (- 16) + 19

Add and subtract (left to right)

- 4 - (- 16) + 19 : 31

- 4 - (- 16) + 19

Apply rule

- (- a) = + a

- (- 16) = + 16

= - 4 + 16 + 19

- 4 + 16 = 12

= 12 + 19

12 + 19 = 31

= 31

= 31

1 - 3 - 6

(2^{5} \cdot 2^{3}) \div 2^{4}

1 - 3 + 4

1 - 3 - 4

2 (3 - 2 (4 - 8))