The solution to 4(-2)^2-2 is 14

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4(-2)^2-2

Solution

4 (- 2)^{2} - 2

14

Solution steps

4 (- 2)^{2} - 2

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

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

n

is even

(- 2)^{2} = 2^{2} = 4

= 4

= 4 \cdot 4 - 2

Multiply and divide (left to right)

4 \cdot 4 : 16

4 \cdot 4

4 \cdot 4 = 16

= 16

= 16 - 2

Add and subtract (left to right)

16 - 2 : 14

16 - 2

16 - 2 = 14

= 14

= 14

2^{4} + 2

2^{4} - 4

2^{4} - 3

0^{2} - 20 + 1

(- 2 + 4)^{2}