What is (2x^3)/5*8/(3x^2) ?

The solution to (2x^3)/5*8/(3x^2) is (16x)/(15)

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simplify (2x^3)/5*8/(3x^2)

simplify

\frac{2 x ^{3}}{5} \cdot \frac{8}{3 x ^{2}}

\frac{16 x}{15}

Solution steps

\frac{2 x ^{3}}{5} \cdot \frac{8}{3 x ^{2}}

Apply the fraction rule:

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

= \frac{2 x ^{3} \cdot 8}{5 \cdot 3 x ^{2}}

Simplify

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

= \frac{2 x \cdot 8}{5 \cdot 3}

Multiply the numbers:

2 \cdot 8 = 16

= \frac{16 x}{5 \cdot 3}

Multiply the numbers:

5 \cdot 3 = 15

= \frac{16 x}{15}

\frac{7}{8} \times \frac{3}{4}

\frac{\frac{a - x}{a x}}{x - a}

(2 - 5 i) (- 2 + 7 i)

\frac{63}{36}