What is -6-(9-2)^2+(-9)^2-(2) ?

The solution to -6-(9-2)^2+(-9)^2-(2) is 24

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-6-(9-2)^2+(-9)^2-(2)

- 6 - (9 - 2)^{2} + (- 9)^{2} - (2)

24

Solution steps

- 6 - (9 - 2)^{2} + (- 9)^{2} - (2)

Follow the PEMDAS order of operations

Calculate within parentheses

(9 - 2) : 7

9 - 2

9 - 2 = 7

= 7

= - 6 - 7^{2} + (- 9)^{2} - (2)

Calculate exponents

7^{2} : 49

7^{2}

7^{2} = 49

= 49

= - 6 - 49 + (- 9)^{2} - (2)

Calculate exponents

(- 9)^{2} : 81

(- 9)^{2}

Apply exponent rule:

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

n

is even

(- 9)^{2} = 9^{2} = 81

= 81

= - 6 - 49 + 81 - (2)

Add and subtract (left to right)

- 6 - 49 + 81 - (2) : 24

- 6 - 49 + 81 - (2)

- 6 - 49 = - 55

= - 55 + 81 - (2)

- 55 + 81 = 26

= 26 - (2)

26 - (2) = 24

= 24

= 24

[21 \div (7 \cdot 3)] + 4 (5 - 1)

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

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

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

(8 - 8) (83)