What is 2(-1)^2-8(-1)-24 ?

The solution to 2(-1)^2-8(-1)-24 is -14

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2(-1)^2-8(-1)-24

2 (- 1)^{2} - 8 (- 1) - 24

- 14

Solution steps

2 (- 1)^{2} - 8 (- 1) - 24

Follow the PEMDAS order of operations

Calculate exponents

(- 1)^{2} : 1

(- 1)^{2}

Apply exponent rule:

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

n

is even

(- 1)^{2} = 1^{2} = 1

= 1

= 2 \cdot 1 - 8 (- 1) - 24

Multiply and divide (left to right)

2 \cdot 1 : 2

2 \cdot 1

2 \cdot 1 = 2

= 2

= 2 - 8 (- 1) - 24

Multiply and divide (left to right)

8 (- 1) : - 8

8 (- 1)

Apply rule

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

8 (- 1) = - 8 \cdot 1 = - 8

= - 8

= 2 - (- 8) - 24

Add and subtract (left to right)

2 - (- 8) - 24 : - 14

2 - (- 8) - 24

Apply rule

- (- a) = + a

- (- 8) = + 8

= 2 + 8 - 24

2 + 8 = 10

= 10 - 24

10 - 24 = - 14

= - 14

= - 14

3 (- 2) - 4

3 (8 - 1) + 4 (3 + 2) - 3 (5 - 4)

3^{6} \cdot 3

4^{2} \cdot 4

\frac{1}{2} 5 (18 + 8)