What is (x^2)/(5y)*(25y^3)/(x^5) ?

The solution to (x^2)/(5y)*(25y^3)/(x^5) is (5y^2)/(x^3)

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simplify (x^2)/(5y)*(25y^3)/(x^5)

simplify

\frac{x ^{2}}{5 y} \cdot \frac{25 y ^{3}}{x ^{5}}

\frac{5 y ^{2}}{x ^{3}}

Solution steps

\frac{x ^{2}}{5 y} \cdot \frac{25 y ^{3}}{x ^{5}}

Apply the fraction rule:

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

= \frac{x ^{2} \cdot 25 y ^{3}}{5 y x ^{5}}

Factor the number:

25 = 5 \cdot 5

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

Cancel the common factor:

5

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

Simplify

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

= \frac{x ^{2} \cdot 5 y ^{2}}{x ^{5}}

Simplify

\frac{x ^{2}}{x ^{5}} : \frac{1}{x ^{3}}

= \frac{5 y ^{2}}{x ^{3}}

- 2 x^{2} + 7 x = 3

16 a b^{2} - 10 c^{3} + 32 a c^{2} - 5 b^{2} c

3 z + 9 + 14 z = 4 z + 5

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

y^{3} - 216

What is (x^2)/(5y)*(25y^3)/(x^5) ?
The solution to (x^2)/(5y)*(25y^3)/(x^5) is (5y^2)/(x^3)