The solution to 2(-4)^3+2 is -126

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2(-4)^3+2

Solution

2 (- 4)^{3} + 2

- 126

Solution steps

2 (- 4)^{3} + 2

Follow the PEMDAS order of operations

Calculate exponents

(- 4)^{3} : - 64

(- 4)^{3}

Apply exponent rule:

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

n

is odd

(- 4)^{3} = - 4^{3} = - 64

= - 64

= 2 (- 64) + 2

Multiply and divide (left to right)

2 (- 64) : - 128

2 (- 64)

Apply rule

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

2 (- 64) = - 2 \cdot 64 = - 128

= - 128

= - 128 + 2

Add and subtract (left to right)

- 128 + 2 : - 126

- 128 + 2

- 128 + 2 = - 126

= - 126

= - 126

8 \times \frac{3}{4} - 12 - 2 \times (- 3)

20 \div 5 + 11 (2 - 7 + 1) - 12 \div 3 + 10

6 \cdot 1 0^{1}

(- 15) + (+ 48) + (- 57)

6 - 3 + 2