The solution to (-3^2+7)/4 is -1/2

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(-3^2+7)/4

Solution

\frac{- 3 ^{2} + 7}{4}

- \frac{1}{2}

Solution steps

\frac{- 3 ^{2} + 7}{4}

Solve

- 3^{2} + 7 : - 2

Follow the PEMDAS order of operations

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= - 9 + 7

Add and subtract (left to right)

- 9 + 7 : - 2

- 9 + 7

- 9 + 7 = - 2

= - 2

= - 2

= \frac{- 2}{4}

Simplify

\frac{- 2}{4} : - \frac{1}{2}

Apply the fraction rule:

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

= - \frac{2}{4}

Cancel the common factor:

2

= - \frac{1}{2}

= - \frac{1}{2}

3 + (- 1) - 1 + \frac{1}{2}

95 + (- 120 + 65 - 70)

- 46 + 84 + 95 - 218

2^{4} \times 3 \times 5

34 - 67 + 80 + 90 - 87