What is 5-(-5+2)^3-2 ?

The solution to 5-(-5+2)^3-2 is 30

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5-(-5+2)^3-2

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

30

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(- 5 + 2) : - 3

- 5 + 2

- 5 + 2 = - 3

= - 3

= 5 - (- 3)^{3} - 2

Calculate exponents

(- 3)^{3} : - 27

(- 3)^{3}

Apply exponent rule:

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

n

is odd

(- 3)^{3} = - 3^{3} = - 27

= - 27

= 5 - (- 27) - 2

Add and subtract (left to right)

5 - (- 27) - 2 : 30

5 - (- 27) - 2

Apply rule

- (- a) = + a

- (- 27) = + 27

= 5 + 27 - 2

5 + 27 = 32

= 32 - 2

32 - 2 = 30

= 30

= 30

(- 5) + (2) + (- 3)

10 + 7 ((10) - 1)

40 - (4 + 6) \div 2 + 3

(4 \frac{2}{5} + 7 \frac{8}{9}) - 6 \frac{2}{4}

2 - 2 (0)