The solution to 2(-3)^3+6 is -48

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2(-3)^3+6

Solution

2 (- 3)^{3} + 6

- 48

Solution steps

2 (- 3)^{3} + 6

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

= 2 (- 27) + 6

Multiply and divide (left to right)

2 (- 27) : - 54

2 (- 27)

Apply rule

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

2 (- 27) = - 2 \cdot 27 = - 54

= - 54

= - 54 + 6

Add and subtract (left to right)

- 54 + 6 : - 48

- 54 + 6

- 54 + 6 = - 48

= - 48

= - 48

2^{2} \times 5

2 (2) - 5

3 (1) - 2

3 (1) - 4

(- 2 - 1)^{2}