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

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

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-1/3 (-2)-3

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

- \frac{7}{3}

Solution steps

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

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

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

Apply rule

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

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

Convert element to fraction:

2 = \frac{2}{1}

= \frac{1}{3} \cdot \frac{2}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 2}{3 \cdot 1}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{2}{3}

= \frac{2}{3} - 3

Add and subtract (left to right)

\frac{2}{3} - 3 : - \frac{7}{3}

\frac{2}{3} - 3

\frac{2}{3} - 3 = - \frac{7}{3}

\frac{2}{3} - 3

Convert element to fraction:

3 = \frac{3 \cdot 3}{3}

= - \frac{3 \cdot 3}{3} + \frac{2}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{- 3 \cdot 3 + 2}{3}

- 3 \cdot 3 + 2 = - 7

- 3 \cdot 3 + 2

Multiply the numbers:

3 \cdot 3 = 9

= - 9 + 2

Add/Subtract the numbers:

- 9 + 2 = - 7

= - 7

= \frac{- 7}{3}

Apply the fraction rule:

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

= - \frac{7}{3}

= - \frac{7}{3}

= - \frac{7}{3}

10 + 70 - (- 20)

6 \times 1 0^{2}

6 \times 1 0^{3}

- 2 (- 2) - 1

- 2 (- 2) + 2