What is 10^2\div 25+4\times 7^2\div 14^1-12+2 ?

The solution to 10^2\div 25+4\times 7^2\div 14^1-12+2 is 8

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10^2\div 25+4\times 7^2\div 14^1-12+2

1 0^{2} \div 25 + 4 \times 7^{2} \div 1 4^{1} - 12 + 2

8

Solution steps

1 0^{2} \div 25 + 4 \times 7^{2} \div 1 4^{1} - 12 + 2

Follow the PEMDAS order of operations

Calculate exponents

1 0^{2} : 100

= 100 \div 25 + 4 \times 7^{2} \div 1 4^{1} - 12 + 2

Calculate exponents

7^{2} : 49

= 100 \div 25 + 4 \times 49 \div 1 4^{1} - 12 + 2

Calculate exponents

1 4^{1} : 14

= 100 \div 25 + 4 \times 49 \div 14 - 12 + 2

Multiply and divide (left to right)

100 \div 25 : 4

= 4 + 4 \times 49 \div 14 - 12 + 2

Multiply and divide (left to right)

4 \times 49 \div 14 : 14

= 4 + 14 - 12 + 2

Add and subtract (left to right)

4 + 14 - 12 + 2 : 8

= 8

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

3 - 7 \times 2 - 5 \times 9 + 4 \times 6 \div 2 - 3

- 2 (- 3)^{2} - 5 (- 3) + 7

5 \times \frac{1}{5} + \frac{1}{2}

3 + (- 2) - (3 \cdot 5 - 1)

What is 10^2\div 25+4\times 7^2\div 14^1-12+2 ?
The solution to 10^2\div 25+4\times 7^2\div 14^1-12+2 is 8