What is (42x^2)/(-36x^3) ?

The solution to (42x^2)/(-36x^3) is -7/(6x)

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simplify (42x^2)/(-36x^3)

simplify

\frac{42 x ^{2}}{- 36 x ^{3}}

- \frac{7}{6 x}

Solution steps

\frac{42 x ^{2}}{- 36 x ^{3}}

Factor the number:

42 = 6 \cdot 7

= \frac{6 \cdot 7 x ^{2}}{- 36 x ^{3}}

Factor the number:

36 = 6 \cdot 6

= \frac{6 \cdot 7 x ^{2}}{- 6 \cdot 6 x ^{3}}

Cancel the common factor:

6

= \frac{7 x ^{2}}{- 6 x ^{3}}

Simplify

\frac{x ^{2}}{x ^{3}} : \frac{1}{x}

= \frac{7}{- 6 x}

Apply the fraction rule:

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

= - \frac{7}{6 x}

(7 - 4 i) - (10 - 3 i)

5. 6^{2} + 13. 8^{2} + 20. 4^{2}

\frac{1}{8} - \frac{1}{3}

a \times a \times a

\frac{6}{7} \div \frac{3}{5}