What is -1/2-2^2(6-1/2-2) ?

The solution to -1/2-2^2(6-1/2-2) is -29/2

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-1/2-2^2(6-1/2-2)

- \frac{1}{2} - 2^{2} (6 - \frac{1}{2} - 2)

- \frac{29}{2}

Solution steps

- \frac{1}{2} - 2^{2} (6 - \frac{1}{2} - 2)

Follow the PEMDAS order of operations

Calculate within parentheses

(6 - \frac{1}{2} - 2) : \frac{7}{2}

= - \frac{1}{2} - 2^{2} \cdot \frac{7}{2}

Calculate exponents

2^{2} : 4

= - \frac{1}{2} - 4 \cdot \frac{7}{2}

Multiply and divide (left to right)

4 \cdot \frac{7}{2} : 14

= - \frac{1}{2} - 14

Add and subtract (left to right)

- \frac{1}{2} - 14 : - \frac{29}{2}

= - \frac{29}{2}

6 - (- 9 + 7 - 1) - [3 - (- 5 + 4 + 6) - 1]

2 + 3 - 5 \times 4 - 7 + 3

- 13 + 7 - 9 + 5 - 13

- 6 (- 3) + 4 (- 9)

15 + (2^{5} - 7) \cdot 3