What is -2/5 (-2)-2 ?

The solution to -2/5 (-2)-2 is -6/5

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-2/5 (-2)-2

- \frac{2}{5} (- 2) - 2

- \frac{6}{5}

Solution steps

- \frac{2}{5} (- 2) - 2

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- \frac{2}{5} (- 2) : \frac{4}{5}

- \frac{2}{5} (- 2)

Apply rule

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

- \frac{2}{5} (- 2) = \frac{2}{5} \cdot 2

Convert element to fraction:

2 = \frac{2}{1}

= \frac{2}{5} \cdot \frac{2}{1}

Apply the fraction rule:

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

= \frac{2 \cdot 2}{5 \cdot 1}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{4}{5 \cdot 1}

Multiply the numbers:

5 \cdot 1 = 5

= \frac{4}{5}

= \frac{4}{5} - 2

Add and subtract (left to right)

\frac{4}{5} - 2 : - \frac{6}{5}

\frac{4}{5} - 2

\frac{4}{5} - 2 = - \frac{6}{5}

\frac{4}{5} - 2

Convert element to fraction:

2 = \frac{2 \cdot 5}{5}

= - \frac{2 \cdot 5}{5} + \frac{4}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{- 2 \cdot 5 + 4}{5}

- 2 \cdot 5 + 4 = - 6

- 2 \cdot 5 + 4

Multiply the numbers:

2 \cdot 5 = 10

= - 10 + 4

Add/Subtract the numbers:

- 10 + 4 = - 6

= - 6

= \frac{- 6}{5}

Apply the fraction rule:

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

= - \frac{6}{5}

= - \frac{6}{5}

= - \frac{6}{5}

- 2^{3} + 6 (- 2)^{2} + 13 (- 2) + 10

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