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

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

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

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

- 3

Solution steps

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

= - 2 \cdot 9 - 5 (- 3)

Multiply and divide (left to right)

- 2 \cdot 9 : - 18

- 2 \cdot 9

- 2 \cdot 9 = - 18

= - 18

= - 18 - 5 (- 3)

Multiply and divide (left to right)

5 (- 3) : - 15

5 (- 3)

Apply rule

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

5 (- 3) = - 5 \cdot 3 = - 15

= - 15

= - 18 - (- 15)

Add and subtract (left to right)

- 18 - (- 15) : - 3

- 18 - (- 15)

Apply rule

- (- a) = + a

- (- 15) = + 15

= - 18 + 15

- 18 + 15 = - 3

= - 3

= - 3

440 - [30 + 6 (19 - 12)]

- 2 (0)^{2}

2 (3)^{1}

1 9^{2} - 1 1^{2}

3/4 + 7/6 - 2/3