What is 68-13(7-5^2)+2^3 ?

The solution to 68-13(7-5^2)+2^3 is 310

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68-13(7-5^2)+2^3

68 - 13 (7 - 5^{2}) + 2^{3}

310

Solution steps

68 - 13 (7 - 5^{2}) + 2^{3}

Follow the PEMDAS order of operations

Calculate within parentheses

(7 - 5^{2}) : - 18

7 - 5^{2}

Calculate exponents

5^{2} : 25

5^{2}

5^{2} = 25

= 25

= 7 - 25

Add and subtract (left to right)

7 - 25 : - 18

7 - 25

7 - 25 = - 18

= - 18

= - 18

= 68 - 13 (- 18) + 2^{3}

Calculate exponents

2^{3} : 8

2^{3}

2^{3} = 8

= 8

= 68 - 13 (- 18) + 8

Multiply and divide (left to right)

13 (- 18) : - 234

13 (- 18)

Apply rule

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

13 (- 18) = - 13 \cdot 18 = - 234

= - 234

= 68 - (- 234) + 8

Add and subtract (left to right)

68 - (- 234) + 8 : 310

68 - (- 234) + 8

Apply rule

- (- a) = + a

- (- 234) = + 234

= 68 + 234 + 8

68 + 234 = 302

= 302 + 8

302 + 8 = 310

= 310

= 310

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

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

6 + 4^{2} \div 2

1 3^{2} + 6^{2}

3 - 4 + 7