What is (20^2-3^3\times 8^2)\div 16 ?

The solution to (20^2-3^3\times 8^2)\div 16 is -83

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(20^2-3^3\times 8^2)\div 16

(2 0^{2} - 3^{3} \times 8^{2}) \div 16

- 83

Solution steps

(2 0^{2} - 3^{3} \times 8^{2}) \div 16

Follow the PEMDAS order of operations

Calculate within parentheses

(2 0^{2} - 3^{3} \times 8^{2}) : - 1328

2 0^{2} - 3^{3} \times 8^{2}

Calculate exponents

2 0^{2} : 400

2 0^{2}

2 0^{2} = 400

= 400

= 400 - 3^{3} \times 8^{2}

Calculate exponents

3^{3} : 27

3^{3}

3^{3} = 27

= 27

= 400 - 27 \times 8^{2}

Calculate exponents

8^{2} : 64

8^{2}

8^{2} = 64

= 64

= 400 - 27 \times 64

Multiply and divide (left to right)

27 \times 64 : 1728

27 \times 64

27 \times 64 = 1728

= 1728

= 400 - 1728

Add and subtract (left to right)

400 - 1728 : - 1328

400 - 1728

400 - 1728 = - 1328

= - 1328

= - 1328

= - 1328 \div 16

Multiply and divide (left to right)

- 1328 \div 16 : - 83

- 1328 \div 16

- 1328 \div 16 = - 83

= - 83

= - 83

(3 \times 125) \div 5

1 - [8 + (- 3 + 6) - 5] + 4

39 - 36 - 35

3^{2} (2 + (- 2) \times 0)

72 \div 8 - 3 \cdot 2

What is (20^2-3^3\times 8^2)\div 16 ?
The solution to (20^2-3^3\times 8^2)\div 16 is -83