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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Popular >

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

Solution

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

Solution

- \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}

6 - \frac{1}{2} - 2

Add and subtract (left to right)

6 - \frac{1}{2} = \frac{11}{2}

6 - \frac{1}{2}

Convert element to fraction:

6 = \frac{6 \cdot 2}{2}

= \frac{6 \cdot 2}{2} - \frac{1}{2}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{6 \cdot 2 - 1}{2}

6 \cdot 2 - 1 = 11

6 \cdot 2 - 1

Multiply the numbers:

6 \cdot 2 = 12

= 12 - 1

Subtract the numbers:

12 - 1 = 11

= 11

= \frac{11}{2}

= \frac{11}{2} - 2

\frac{11}{2} - 2 = \frac{7}{2}

\frac{11}{2} - 2

Convert element to fraction:

2 = \frac{2 \cdot 2}{2}

= - \frac{2 \cdot 2}{2} + \frac{11}{2}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{- 2 \cdot 2 + 11}{2}

- 2 \cdot 2 + 11 = 7

- 2 \cdot 2 + 11

Multiply the numbers:

2 \cdot 2 = 4

= - 4 + 11

Add/Subtract the numbers:

- 4 + 11 = 7

= 7

= \frac{7}{2}

= \frac{7}{2}

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

Calculate exponents

2^{2} : 4

2^{2}

2^{2} = 4

= 4

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

Multiply and divide (left to right)

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

4 \cdot \frac{7}{2}

Convert element to fraction:

4 = \frac{4}{1}

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

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

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

Cancel

\frac{4 \cdot 7}{1 \cdot 2} : 14

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

Multiply the numbers:

1 \cdot 2 = 2

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

Divide the numbers:

\frac{4}{2} = 2

= 2 \cdot 7

Multiply the numbers:

2 \cdot 7 = 14

= 14

= 14

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

Add and subtract (left to right)

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

- \frac{1}{2} - 14

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

- \frac{1}{2} - 14

Convert element to fraction:

14 = \frac{14 \cdot 2}{2}

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

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

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

- 14 \cdot 2 - 1 = - 29

- 14 \cdot 2 - 1

Multiply the numbers:

14 \cdot 2 = 28

= - 28 - 1

Subtract the numbers:

- 28 - 1 = - 29

= - 29

= \frac{- 29}{2}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{29}{2}

= - \frac{29}{2}

= - \frac{29}{2}

Popular Examples

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

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

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

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

-13+7-9+5-13

- 13 + 7 - 9 + 5 - 13

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

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

15+(2^5-7)*3

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

Frequently Asked Questions (FAQ)

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