What is (30x^2y^8)/(20xy^7) ?

The solution to (30x^2y^8)/(20xy^7) is (3xy)/2

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simplify (30x^2y^8)/(20xy^7)

simplify

\frac{30 x ^{2} y ^{8}}{20 x y ^{7}}

\frac{3 x y}{2}

Solution steps

\frac{30 x ^{2} y ^{8}}{20 x y ^{7}}

Factor the number:

30 = 10 \cdot 3

= \frac{10 \cdot 3 x ^{2} y ^{8}}{20 x y ^{7}}

Factor the number:

20 = 10 \cdot 2

= \frac{10 \cdot 3 x ^{2} y ^{8}}{10 \cdot 2 x y ^{7}}

Cancel the common factor:

10

= \frac{3 x ^{2} y ^{8}}{2 x y ^{7}}

Simplify

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

= \frac{3 x y ^{8}}{2 y ^{7}}

Simplify

\frac{y ^{8}}{y ^{7}} : y

= \frac{3 x y}{2}

\frac{- 7}{5 x + 3} - \frac{6}{5 x + 3}

12 a + 7 x - 3 a - 2 x

\frac{30}{35}

lo g_{10} (2) + lo g_{10} (50)

\frac{9 x ^{2} - 4}{5 x ^{2} - 3 x - 14} \cdot \frac{3 x - 6}{3 x - 2}