What is -(-5)^2-6(-5)+7 ?

The solution to -(-5)^2-6(-5)+7 is 12

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-(-5)^2-6(-5)+7

- (- 5)^{2} - 6 (- 5) + 7

12

Solution steps

- (- 5)^{2} - 6 (- 5) + 7

Follow the PEMDAS order of operations

Calculate exponents

(- 5)^{2} : 25

(- 5)^{2}

Apply exponent rule:

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

n

is even

(- 5)^{2} = 5^{2} = 25

= 25

= - 25 - 6 (- 5) + 7

Multiply and divide (left to right)

6 (- 5) : - 30

6 (- 5)

Apply rule

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

6 (- 5) = - 6 \cdot 5 = - 30

= - 30

= - 25 - (- 30) + 7

Add and subtract (left to right)

- 25 - (- 30) + 7 : 12

- 25 - (- 30) + 7

Apply rule

- (- a) = + a

- (- 30) = + 30

= - 25 + 30 + 7

- 25 + 30 = 5

= 5 + 7

5 + 7 = 12

= 12

= 12

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

2 (4)^{3} + 4 (2)^{2} - 5 (4)

576 - 4 (144)

2 (6) - 5

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