The solution to 1/(-3^2+1) is -1/8

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1/(-3^2+1)

Solution

\frac{1}{- 3 ^{2} + 1}

- \frac{1}{8}

Solution steps

\frac{1}{- 3 ^{2} + 1}

Solve

- 3^{2} + 1 : - 8

Follow the PEMDAS order of operations

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= - 9 + 1

Add and subtract (left to right)

- 9 + 1 : - 8

- 9 + 1

- 9 + 1 = - 8

= - 8

= - 8

= \frac{1}{- 8}

Apply the fraction rule:

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

= - \frac{1}{8}

\frac{17}{39} - (\frac{4}{39} + \frac{1}{9})

33 + (- 27) - (- 35) + (- 47)

1540 \div 14 + 3960 \div 12 + 240 \div 6

180/6 - 3 \cdot (4 \cdot (8 - 6) - 30/10 \cdot 2)

(1 + 3)^{2} - 10 \div 2