What is 1/(3(-2)-2) ?

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

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1/(3(-2)-2)

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

- \frac{1}{8}

Solution steps

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

Solve

3 (- 2) - 2 : - 8

Follow the PEMDAS order of operations

Multiply and divide (left to right)

3 (- 2) : - 6

3 (- 2)

Apply rule

a \cdot (- b) = - a \cdot b

3 (- 2) = - 3 \cdot 2 = - 6

= - 6

= - 6 - 2

Add and subtract (left to right)

- 6 - 2 : - 8

- 6 - 2

- 6 - 2 = - 8

= - 8

= - 8

= \frac{1}{- 8}

Apply the fraction rule:

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

= - \frac{1}{8}

1000 + 90 \cdot 5 - 9 \cdot 25

8 (3^{2} - 9)

\frac{2}{7} \times \frac{14}{3}

- \frac{1}{25} (5)^{2} + \frac{4}{5} (5) + 2

3 + 7 \times 3^{2} - 5 \times 6