What is -2(-1)^2+7(-1)-4 ?

The solution to -2(-1)^2+7(-1)-4 is -13

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-2(-1)^2+7(-1)-4

- 2 (- 1)^{2} + 7 (- 1) - 4

- 13

Solution steps

- 2 (- 1)^{2} + 7 (- 1) - 4

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

= - 2 \cdot 1 + 7 (- 1) - 4

Multiply and divide (left to right)

- 2 \cdot 1 : - 2

- 2 \cdot 1

- 2 \cdot 1 = - 2

= - 2

= - 2 + 7 (- 1) - 4

Multiply and divide (left to right)

7 (- 1) : - 7

7 (- 1)

Apply rule

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

7 (- 1) = - 7 \cdot 1 = - 7

= - 7

= - 2 - 7 - 4

Add and subtract (left to right)

- 2 - 7 - 4 : - 13

- 2 - 7 - 4

- 2 - 7 = - 9

= - 9 - 4

- 9 - 4 = - 13

= - 13

= - 13

(- 3) - 4 \cdot (- 1)

7 + 3^{2}

4 (1)^{2} - 10 (1) + 12

\frac{2 ^{3} + 3 ^{2} + 1}{2 ^{2} + 5}

3^{1} - 4