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

The solution to (-1)^2-2(-1)-8 is -5

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

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

- 5

Solution steps

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

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

= 1 - 2 (- 1) - 8

Multiply and divide (left to right)

2 (- 1) : - 2

2 (- 1)

Apply rule

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

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

= - 2

= 1 - (- 2) - 8

Add and subtract (left to right)

1 - (- 2) - 8 : - 5

1 - (- 2) - 8

Apply rule

- (- a) = + a

- (- 2) = + 2

= 1 + 2 - 8

1 + 2 = 3

= 3 - 8

3 - 8 = - 5

= - 5

= - 5

12 \div 6 \times 2 \div 2^{2}

24 - 18 \div 3 + 2

2 \div 3^{2}

\frac{- 300}{- 50 \times 2}

75 - 3 \times 4 + 6 - 5 \times 3