What is 4(7-[2\times 9^2-(8-16)+20\div 2]) ?

The solution to 4(7-[2\times 9^2-(8-16)+20\div 2]) is -692

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4(7-[2\times 9^2-(8-16)+20\div 2])

4 (7 - [2 \times 9^{2} - (8 - 16) + 20 \div 2])

- 692

Solution steps

4 (7 - [2 \times 9^{2} - (8 - 16) + 20 \div 2])

Follow the PEMDAS order of operations

Calculate within parentheses

(7 - [2 \times 9^{2} - (8 - 16) + 20 \div 2]) : - 173

7 - [2 \times 9^{2} - (8 - 16) + 20 \div 2]

Calculate within parentheses

[2 \times 9^{2} - (8 - 16) + 20 \div 2] : 180

2 \times 9^{2} - (8 - 16) + 20 \div 2

Calculate within parentheses

(8 - 16) : - 8

8 - 16

8 - 16 = - 8

= - 8

= 2 \times 9^{2} - (- 8) + 20 \div 2

Calculate exponents

9^{2} : 81

9^{2}

9^{2} = 81

= 81

= 2 \times 81 - (- 8) + 20 \div 2

Multiply and divide (left to right)

2 \times 81 : 162

2 \times 81

2 \times 81 = 162

= 162

= 162 - (- 8) + 20 \div 2

Multiply and divide (left to right)

20 \div 2 : 10

20 \div 2

20 \div 2 = 10

= 10

= 162 - (- 8) + 10

Add and subtract (left to right)

162 - (- 8) + 10 : 180

162 - (- 8) + 10

Apply rule

- (- a) = + a

- (- 8) = + 8

= 162 + 8 + 10

162 + 8 = 170

= 170 + 10

170 + 10 = 180

= 180

= 180

= 7 - 180

Add and subtract (left to right)

7 - 180 : - 173

7 - 180

7 - 180 = - 173

= - 173

= - 173

= 4 (- 173)

Multiply and divide (left to right)

4 (- 173) : - 692

4 (- 173)

Apply rule

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

4 (- 173) = - 4 \cdot 173 = - 692

= - 692

= - 692

2 \times 6 + 15 \div 3 + 2^{2}

- 2 (- 3)^{3}

7 (6) - 4 (9)

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

(- 2) + 5 (- 2) - 6

What is 4(7-[2\times 9^2-(8-16)+20\div 2]) ?
The solution to 4(7-[2\times 9^2-(8-16)+20\div 2]) is -692