What is -7(-2)^2+5(-2)+9 ?

The solution to -7(-2)^2+5(-2)+9 is -29

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-7(-2)^2+5(-2)+9

- 7 (- 2)^{2} + 5 (- 2) + 9

- 29

Solution steps

- 7 (- 2)^{2} + 5 (- 2) + 9

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

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

n

is even

(- 2)^{2} = 2^{2} = 4

= 4

= - 7 \cdot 4 + 5 (- 2) + 9

Multiply and divide (left to right)

- 7 \cdot 4 : - 28

- 7 \cdot 4

- 7 \cdot 4 = - 28

= - 28

= - 28 + 5 (- 2) + 9

Multiply and divide (left to right)

5 (- 2) : - 10

5 (- 2)

Apply rule

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

5 (- 2) = - 5 \cdot 2 = - 10

= - 10

= - 28 - 10 + 9

Add and subtract (left to right)

- 28 - 10 + 9 : - 29

- 28 - 10 + 9

- 28 - 10 = - 38

= - 38 + 9

- 38 + 9 = - 29

= - 29

= - 29

- 670 + 33 (44)

58 - 4 + (64 - 26) + (4 \times 3 + 6)

3 2^{2} + 6 3^{2} + 7 9^{2}

300 + 6 (5 - 3) - 11

- \frac{4}{3} \cdot 2 + 1