What is (-3)^3-2+8\div (-8) ?

The solution to (-3)^3-2+8\div (-8) is -30

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(-3)^3-2+8\div (-8)

(- 3)^{3} - 2 + 8 \div (- 8)

- 30

Solution steps

(- 3)^{3} - 2 + 8 \div (- 8)

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{3} : - 27

(- 3)^{3}

Apply exponent rule:

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

n

is odd

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

= - 27

= - 27 - 2 + 8 \div (- 8)

Multiply and divide (left to right)

8 \div (- 8) : - 1

8 \div (- 8)

Apply rule

a \div (- b) = - a \div b

8 \div (- 8) = - 8 \div 8 = - 1

= - 1

= - 27 - 2 - 1

Add and subtract (left to right)

- 27 - 2 - 1 : - 30

- 27 - 2 - 1

- 27 - 2 = - 29

= - 29 - 1

- 29 - 1 = - 30

= - 30

= - 30

- 250 - (184 - 72) + 2

- 1 - 2 + 3

\frac{2 \cdot 1 + 3 \cdot 2}{1 + 2}

2^{3} + 3 \cdot 7

- 4 \cdot (- 4) \cdot (- 4)