What is (2x^{-2}y)/(7x^3y^2)*(14x^5y^3)/(x^0y^5) ?

The solution to (2x^{-2}y)/(7x^3y^2)*(14x^5y^3)/(x^0y^5) is 4/(y^3)

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simplify (2x^{-2}y)/(7x^3y^2)*(14x^5y^3)/(x^0y^5)

simplify

\frac{2 x ^{- 2} y}{7 x ^{3} y ^{2}} \cdot \frac{14 x ^{5} y ^{3}}{x ^{0} y ^{5}}

\frac{4}{y ^{3}}

Solution steps

\frac{2 x ^{- 2} y}{7 x ^{3} y ^{2}} \cdot \frac{14 x ^{5} y ^{3}}{x ^{0} y ^{5}}

Cancel

\frac{2 x ^{- 2} y}{7 x ^{3} y ^{2}} : \frac{2}{7 x ^{5} y}

= \frac{2}{7 x ^{5} y} \cdot \frac{14 x ^{5} y ^{3}}{x ^{0} y ^{5}}

Cancel

\frac{14 x ^{5} y ^{3}}{x ^{0} y ^{5}} : \frac{14 x ^{5}}{y ^{2}}

= \frac{2}{7 x ^{5} y} \cdot \frac{14 x ^{5}}{y ^{2}}

Apply the fraction rule:

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

= \frac{2 \cdot 14 x ^{5}}{7 x ^{5} y y ^{2}}

Cancel the common factor:

x^{5}

= \frac{2 \cdot 14}{7 y y ^{2}}

Factor the number:

14 = 7 \cdot 2

= \frac{2 \cdot 7 \cdot 2}{7 y y ^{2}}

Cancel the common factor:

7

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

Multiply the numbers:

2 \cdot 2 = 4

= \frac{4}{y y ^{2}}

Simplify

y y^{2} : y^{3}

= \frac{4}{y ^{3}}

x^{2} - 4 x - 1

7 x + 5 < - 9

9 x - 8 = - 2

\frac{3}{2} - 2 x \leq 4 x - (5 x + 6)

\frac{s}{3} < 5

What is (2x^{-2}y)/(7x^3y^2)*(14x^5y^3)/(x^0y^5) ?
The solution to (2x^{-2}y)/(7x^3y^2)*(14x^5y^3)/(x^0y^5) is 4/(y^3)