What is (6^2+(18\div 9+5^2))-3^2 ?

The solution to (6^2+(18\div 9+5^2))-3^2 is 54

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(6^2+(18\div 9+5^2))-3^2

(6^{2} + (18 \div 9 + 5^{2})) - 3^{2}

54

Solution steps

(6^{2} + (18 \div 9 + 5^{2})) - 3^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(6^{2} + (18 \div 9 + 5^{2})) : 63

6^{2} + (18 \div 9 + 5^{2})

Calculate within parentheses

(18 \div 9 + 5^{2}) : 27

18 \div 9 + 5^{2}

Calculate exponents

5^{2} : 25

5^{2}

5^{2} = 25

= 25

= 18 \div 9 + 25

Multiply and divide (left to right)

18 \div 9 : 2

18 \div 9

18 \div 9 = 2

= 2

= 2 + 25

Add and subtract (left to right)

2 + 25 : 27

2 + 25

2 + 25 = 27

= 27

= 27

= 6^{2} + 27

Calculate exponents

6^{2} : 36

6^{2}

6^{2} = 36

= 36

= 36 + 27

Add and subtract (left to right)

36 + 27 : 63

36 + 27

36 + 27 = 63

= 63

= 63

= 63 - 3^{2}

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 63 - 9

Add and subtract (left to right)

63 - 9 : 54

63 - 9

63 - 9 = 54

= 54

= 54

18 - 48 \div (- 6)

1 + 4 - 2 - 6 + 9 - 2 \cdot (- 4)

(- 7) \times (+ 4) \div (- 2) + 15

4 (12)^{2}

- (- 2)^{2} + 6 (- 2) + 1

What is (6^2+(18\div 9+5^2))-3^2 ?
The solution to (6^2+(18\div 9+5^2))-3^2 is 54