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

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

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

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

2

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(- 1^{2}) : - 1

- 1^{2}

- 1^{2} = - 1

= - 1

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

Calculate exponents

(- 1)^{2} : 1

(- 1)^{2}

Apply exponent rule:

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

n

is even

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

= 1

= 1 - (- 1)

Add and subtract (left to right)

1 - (- 1) : 2

1 - (- 1)

Apply rule

- (- a) = + a

- (- 1) = + 1

= 1 + 1

1 + 1 = 2

= 2

= 2

4^{2} \times 5

(- 4)^{2} - 8

- 2 (- 4) - 1

7 - 12 + (- 3) \div (- 3) \times 6 \div (- 9)

3 (1) - 2 (1)^{2} + 1