What is (-9)^2-2-(-3)-6 ?

The solution to (-9)^2-2-(-3)-6 is 76

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(-9)^2-2-(-3)-6

(- 9)^{2} - 2 - (- 3) - 6

76

Solution steps

(- 9)^{2} - 2 - (- 3) - 6

Follow the PEMDAS order of operations

Calculate exponents

(- 9)^{2} : 81

(- 9)^{2}

Apply exponent rule:

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

n

is even

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

= 81

= 81 - 2 - (- 3) - 6

Add and subtract (left to right)

81 - 2 - (- 3) - 6 : 76

81 - 2 - (- 3) - 6

81 - 2 = 79

= 79 - (- 3) - 6

Apply rule

- (- a) = + a

- (- 3) = + 3

= 79 + 3 - 6

79 + 3 = 82

= 82 - 6

82 - 6 = 76

= 76

= 76

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- 7 [3 (- 6 - 2)] - 8 [2 (4 - 6 - 4)]

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1 \cdot 1 6^{2}

5 - 1 + \frac{1}{5} - \frac{1}{25}