What is (27xy^3)/(3x^8y^7) ?

The solution to (27xy^3)/(3x^8y^7) is 9/(x^7y^4)

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simplify (27xy^3)/(3x^8y^7)

simplify

\frac{27 x y ^{3}}{3 x ^{8} y ^{7}}

\frac{9}{x ^{7} y ^{4}}

Solution steps

\frac{27 x y ^{3}}{3 x ^{8} y ^{7}}

Factor the number:

27 = 3 \cdot 9

= \frac{3 \cdot 9 x y ^{3}}{3 x ^{8} y ^{7}}

Cancel the common factor:

3

= \frac{9 x y ^{3}}{x ^{8} y ^{7}}

Simplify

\frac{x}{x ^{8}} : \frac{1}{x ^{7}}

= \frac{9 y ^{3}}{x ^{7} y ^{7}}

Simplify

\frac{y ^{3}}{y ^{7}} : \frac{1}{y ^{4}}

= \frac{9}{x ^{7} y ^{4}}

- \frac{3}{2} \cdot (- 2)

9 x^{2} - (2 + x)^{2}

- 4 - \frac{1}{4}

5 a (2 - 3 b) - 4 (6 a + 2 ab)

lo g_{10} (3) (243)