What is 5/x*(2x)/(y^2)*(3y)/(10) ?

The solution to 5/x*(2x)/(y^2)*(3y)/(10) is 3/y

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simplify 5/x(2x)/(y^2)(3y)/(10)

simplify

\frac{5}{x} \cdot \frac{2 x}{y ^{2}} \cdot \frac{3 y}{10}

\frac{3}{y}

Solution steps

\frac{5}{x} \cdot \frac{2 x}{y ^{2}} \cdot \frac{3 y}{10}

Apply the fraction rule:

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

= \frac{5 \cdot 2 x \cdot 3 y}{x y ^{2} \cdot 10}

Cancel the common factor:

x

= \frac{5 \cdot 2 \cdot 3 y}{y ^{2} \cdot 10}

Factor the number:

10 = 5 \cdot 2

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

Cancel the common factor:

5

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

Cancel the common factor:

2

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

Simplify

\frac{y}{y ^{2}} : \frac{1}{y}

= \frac{3}{y}

8 + \frac{x - 1}{x + 4}

lo g_{10} (x^{2} - 9) - lo g_{10} (x^{2} + 6 x + 9)

\frac{144}{81}

2 \cdot 19

2 \cdot 4 x

What is 5/x*(2x)/(y^2)*(3y)/(10) ?
The solution to 5/x*(2x)/(y^2)*(3y)/(10) is 3/y