What is (-5)^2+6(-5)+8 ?

The solution to (-5)^2+6(-5)+8 is 3

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(-5)^2+6(-5)+8

(- 5)^{2} + 6 (- 5) + 8

3

Solution steps

(- 5)^{2} + 6 (- 5) + 8

Follow the PEMDAS order of operations

Calculate exponents

(- 5)^{2} : 25

(- 5)^{2}

Apply exponent rule:

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

n

is even

(- 5)^{2} = 5^{2} = 25

= 25

= 25 + 6 (- 5) + 8

Multiply and divide (left to right)

6 (- 5) : - 30

6 (- 5)

Apply rule

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

6 (- 5) = - 6 \cdot 5 = - 30

= - 30

= 25 - 30 + 8

Add and subtract (left to right)

25 - 30 + 8 : 3

25 - 30 + 8

25 - 30 = - 5

= - 5 + 8

- 5 + 8 = 3

= 3

= 3

2 \times (- 4) + (- 16) \div (- 8) + 12

(3 \times \frac{6}{5}) \div (1 + \frac{3}{7})

12 (1)^{2} (- 2)^{2}

8^{3} \cdot 8

2 (- 3)^{4} + 5 (- 3)^{3} + 8 (- 3)^{2} + 15 (- 3) + 6