The solution to 4(-2)^2-6 is 10

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4(-2)^2-6

Solution

4 (- 2)^{2} - 6

10

Solution steps

4 (- 2)^{2} - 6

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 - 6

Multiply and divide (left to right)

4 \cdot 4 : 16

4 \cdot 4

4 \cdot 4 = 16

= 16

= 16 - 6

Add and subtract (left to right)

16 - 6 : 10

16 - 6

16 - 6 = 10

= 10

= 10

6 (9) + 5

(- 2) \cdot (- 7) + (- 3)^{2}

(3 - \frac{1}{4}) \div (2 - \frac{1}{6})

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

5^{2} + 1 4^{2}