What is -(-3)^2-6(-3)-5 ?

The solution to -(-3)^2-6(-3)-5 is 4

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-(-3)^2-6(-3)-5

- (- 3)^{2} - 6 (- 3) - 5

4

Solution steps

- (- 3)^{2} - 6 (- 3) - 5

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{2} : 9

(- 3)^{2}

Apply exponent rule:

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

n

is even

(- 3)^{2} = 3^{2} = 9

= 9

= - 9 - 6 (- 3) - 5

Multiply and divide (left to right)

6 (- 3) : - 18

6 (- 3)

Apply rule

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

6 (- 3) = - 6 \cdot 3 = - 18

= - 18

= - 9 - (- 18) - 5

Add and subtract (left to right)

- 9 - (- 18) - 5 : 4

- 9 - (- 18) - 5

Apply rule

- (- a) = + a

- (- 18) = + 18

= - 9 + 18 - 5

- 9 + 18 = 9

= 9 - 5

9 - 5 = 4

= 4

= 4

4 + (3 + 4)^{2}

- 8 - (- 6) - (- 4) - 1

3 - 4^{2}

3^{2} - 6 (3) - 5

3 (- 2) + 6