What is -(-(-4-6)^2-(2-8)^3) ?

The solution to -(-(-4-6)^2-(2-8)^3) is -116

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-(-(-4-6)^2-(2-8)^3)

- (- (- 4 - 6)^{2} - (2 - 8)^{3})

- 116

Solution steps

- (- (- 4 - 6)^{2} - (2 - 8)^{3})

Follow the PEMDAS order of operations

Calculate within parentheses

(- (- 4 - 6)^{2} - (2 - 8)^{3}) : 116

- (- 4 - 6)^{2} - (2 - 8)^{3}

Calculate within parentheses

(- 4 - 6) : - 10

- 4 - 6

- 4 - 6 = - 10

= - 10

= - (- 10)^{2} - (2 - 8)^{3}

Calculate within parentheses

(2 - 8) : - 6

2 - 8

2 - 8 = - 6

= - 6

= - (- 10)^{2} - (- 6)^{3}

Calculate exponents

(- 10)^{2} : 100

(- 10)^{2}

Apply exponent rule:

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

n

is even

(- 10)^{2} = 1 0^{2} = 100

= 100

= - 100 - (- 6)^{3}

Calculate exponents

(- 6)^{3} : - 216

(- 6)^{3}

Apply exponent rule:

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

n

is odd

(- 6)^{3} = - 6^{3} = - 216

= - 216

= - 100 - (- 216)

Add and subtract (left to right)

- 100 - (- 216) : 116

- 100 - (- 216)

Apply rule

- (- a) = + a

- (- 216) = + 216

= - 100 + 216

- 100 + 216 = 116

= 116

= 116

= - 116

2 + 1 \cdot 2

(- 4)^{2} + 5 (- 4) + 4

- 1 - 1 - 4

10 (10 - 2)

(- 8) - (- 6) - (- 5) - (+ 1)