What is (1/x)/(-1/(x^2)) ?

The solution to (1/x)/(-1/(x^2)) is -x

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simplify (1/x)/(-1/(x^2))

simplify

\frac{\frac{1}{x}}{- \frac{1}{x ^{2}}}

- x

Solution steps

\frac{\frac{1}{x}}{- \frac{1}{x ^{2}}}

Apply the fraction rule:

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

= - \frac{\frac{1}{x}}{\frac{1}{x ^{2}}}

Apply the fraction rule:

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

\frac{\frac{1}{x}}{\frac{1}{x ^{2}}} = \frac{1 \cdot x ^{2}}{x \cdot 1}

= - \frac{1 \cdot x ^{2}}{x \cdot 1}

Cancel

- \frac{1 \cdot x ^{2}}{x \cdot 1} : - x

= - x

9 x^{2} + 5 x - 26

\frac{15 18}{8 54}

(t - 2) u_{3} (t)

\frac{2}{2} + 1

\frac{1}{2} \times 8