What is -(-1)^2-6(-1)+1 ?

The solution to -(-1)^2-6(-1)+1 is 6

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-(-1)^2-6(-1)+1

- (- 1)^{2} - 6 (- 1) + 1

6

Solution steps

- (- 1)^{2} - 6 (- 1) + 1

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 - 6 (- 1) + 1

Multiply and divide (left to right)

6 (- 1) : - 6

6 (- 1)

Apply rule

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

6 (- 1) = - 6 \cdot 1 = - 6

= - 6

= - 1 - (- 6) + 1

Add and subtract (left to right)

- 1 - (- 6) + 1 : 6

- 1 - (- 6) + 1

Apply rule

- (- a) = + a

- (- 6) = + 6

= - 1 + 6 + 1

- 1 + 6 = 5

= 5 + 1

5 + 1 = 6

= 6

= 6

3^{2} - 32 \div 8 + 13 \times 2 - 25 \div 5

50 - 45 - 10 - 45

4 (9 + 7 - 3^{2})

50 - \frac{175}{2} + \frac{125}{3}

200 - 4 \cdot 50