What is 24\div 2-8-2(-3)^2-2 ?

The solution to 24\div 2-8-2(-3)^2-2 is -16

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24\div 2-8-2(-3)^2-2

24 \div 2 - 8 - 2 (- 3)^{2} - 2

- 16

Solution steps

24 \div 2 - 8 - 2 (- 3)^{2} - 2

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{2} : 9

(- 3)^{2}

Apply exponent rule:

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

n

is even

(- 3)^{2} = 3^{2} = 9

= 9

= 24 \div 2 - 8 - 2 \cdot 9 - 2

Multiply and divide (left to right)

24 \div 2 : 12

24 \div 2

24 \div 2 = 12

= 12

= 12 - 8 - 2 \cdot 9 - 2

Multiply and divide (left to right)

2 \cdot 9 : 18

2 \cdot 9

2 \cdot 9 = 18

= 18

= 12 - 8 - 18 - 2

Add and subtract (left to right)

12 - 8 - 18 - 2 : - 16

12 - 8 - 18 - 2

12 - 8 = 4

= 4 - 18 - 2

4 - 18 = - 14

= - 14 - 2

- 14 - 2 = - 16

= - 16

= - 16

1 \div 2 + 1 \div 3 + 1 \div 6

2 (- 3) - 2

3^{2} (3 \cdot 3^{4})

3 (4)^{2} - 6 (5 - 10)

2 \frac{5}{14} \div (2 - \frac{5}{8})