What is (3x^2)/8*(24)/(x^3) ?

The solution to (3x^2)/8*(24)/(x^3) is 9/x

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simplify (3x^2)/8*(24)/(x^3)

simplify

\frac{3 x ^{2}}{8} \cdot \frac{24}{x ^{3}}

\frac{9}{x}

Solution steps

\frac{3 x ^{2}}{8} \cdot \frac{24}{x ^{3}}

Apply the fraction rule:

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

= \frac{3 x ^{2} \cdot 24}{8 x ^{3}}

Factor the number:

24 = 8 \cdot 3

= \frac{3 x ^{2} \cdot 8 \cdot 3}{8 x ^{3}}

Cancel the common factor:

8

= \frac{3 x ^{2} \cdot 3}{x ^{3}}

Simplify

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

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

Multiply the numbers:

3 \cdot 3 = 9

= \frac{9}{x}

x^{5} y^{2} - y^{4}

\frac{2}{6} - 1

\frac{4}{52} \times \frac{4}{52}

\frac{3 2}{3}

\frac{2 x + 2}{x + 1}