What is -(-3)^2+4(-3)-3 ?

The solution to -(-3)^2+4(-3)-3 is -24

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-(-3)^2+4(-3)-3

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

- 24

Solution steps

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

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 + 4 (- 3) - 3

Multiply and divide (left to right)

4 (- 3) : - 12

4 (- 3)

Apply rule

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

4 (- 3) = - 4 \cdot 3 = - 12

= - 12

= - 9 - 12 - 3

Add and subtract (left to right)

- 9 - 12 - 3 : - 24

- 9 - 12 - 3

- 9 - 12 = - 21

= - 21 - 3

- 21 - 3 = - 24

= - 24

= - 24

2^{7} + 2^{8}

- 2 (3 - 5) + 4 (2 + 1)

(- 8 - 2)^{5}

- 3 (- 4)^{2}

- \frac{1}{2} (- 1) + 1