What is 13+(2^3\div 4)-2(5) ?

The solution to 13+(2^3\div 4)-2(5) is 5

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13+(2^3\div 4)-2(5)

13 + (2^{3} \div 4) - 2 (5)

5

Solution steps

13 + (2^{3} \div 4) - 2 (5)

Follow the PEMDAS order of operations

Calculate within parentheses

(2^{3} \div 4) : 2

2^{3} \div 4

Calculate exponents

2^{3} : 8

2^{3}

2^{3} = 8

= 8

= 8 \div 4

Multiply and divide (left to right)

8 \div 4 : 2

8 \div 4

8 \div 4 = 2

= 2

= 2

= 13 + 2 - 2 (5)

Multiply and divide (left to right)

2 (5) : 10

2 (5)

Apply rule:

(a) = a

(5) = 5

= 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 10

= 13 + 2 - 10

Add and subtract (left to right)

13 + 2 - 10 : 5

13 + 2 - 10

13 + 2 = 15

= 15 - 10

15 - 10 = 5

= 5

= 5

- 6^{2} - 6

10 - 7 (- 2) + 12 \div (4 + 1 \times 2)

28 + 4 \times (5 \div 5)

(\frac{4}{3} + \frac{5}{3})^{2}

(- 12) + (- 11) - (+ 10) - (- 3)