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

The solution to (-6)^2+5(-6)-2 is 4

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

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

4

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 6)^{2} : 36

(- 6)^{2}

Apply exponent rule:

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

n

is even

(- 6)^{2} = 6^{2} = 36

= 36

= 36 + 5 (- 6) - 2

Multiply and divide (left to right)

5 (- 6) : - 30

5 (- 6)

Apply rule

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

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

= - 30

= 36 - 30 - 2

Add and subtract (left to right)

36 - 30 - 2 : 4

36 - 30 - 2

36 - 30 = 6

= 6 - 2

6 - 2 = 4

= 4

= 4

- (+ 3 - 2 + 4 - 6) + (- 1 + 7) - 12

- 5^{2} + 3 (- 5) - 11

4 \frac{2}{9} - (2 \frac{1}{4} + \frac{2}{3})

39 \times (15 \div 3) - 16

\frac{( 170 - 61 ) ^{2}}{61}