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

The solution to 4\times (-8)+6-(-2)^3 is -18

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4\times (-8)+6-(-2)^3

4 \cdot (- 8) + 6 - (- 2)^{3}

- 18

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{3} : - 8

(- 2)^{3}

Apply exponent rule:

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

n

is odd

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

= - 8

= 4 (- 8) + 6 - (- 8)

Multiply and divide (left to right)

4 (- 8) : - 32

4 (- 8)

Apply rule

a \cdot (- b) = - a \cdot b

4 (- 8) = - 4 \cdot 8 = - 32

= - 32

= - 32 + 6 - (- 8)

Add and subtract (left to right)

- 32 + 6 - (- 8) : - 18

- 32 + 6 - (- 8)

- 32 + 6 = - 26

= - 26 - (- 8)

Apply rule

- (- a) = + a

- (- 8) = + 8

= - 26 + 8

- 26 + 8 = - 18

= - 18

= - 18

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

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

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

3 \div (4 \div 6)

2^{2} \div 4^{2}