What is 2\times (-2)^3 ?

The solution to 2\times (-2)^3 is -16

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2\times (-2)^3

2 \cdot (- 2)^{3}

- 16

Solution steps

2 (- 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

= 2 (- 8)

Multiply and divide (left to right)

2 (- 8) : - 16

2 (- 8)

Apply rule

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

2 (- 8) = - 2 \cdot 8 = - 16

= - 16

= - 16

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

2^{3} \cdot 4

5 (\frac{3}{2}) + (- 1)

(4 \times 3)^{2} \div 6

6 [8 (2 - 5)^{2} + 3 (5)]