What is (9x^3y^8)/(45x^2y^6) ?

The solution to (9x^3y^8)/(45x^2y^6) is (xy^2)/5

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simplify (9x^3y^8)/(45x^2y^6)

simplify

\frac{9 x ^{3} y ^{8}}{45 x ^{2} y ^{6}}

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

Solution steps

\frac{9 x ^{3} y ^{8}}{45 x ^{2} y ^{6}}

Factor the number:

45 = 9 \cdot 5

= \frac{9 x ^{3} y ^{8}}{9 \cdot 5 x ^{2} y ^{6}}

Cancel the common factor:

9

= \frac{x ^{3} y ^{8}}{5 x ^{2} y ^{6}}

Simplify

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

= \frac{x y ^{8}}{5 y ^{6}}

Simplify

\frac{y ^{8}}{y ^{6}} : y^{2}

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

144 y^{4} - x^{6}

2 x^{2} + 20 x + 50

(3 x^{2})^{\frac{2}{3}}

\frac{3 x - 12}{( x - 2 ) ( x - 8 )} < 0

8 x - (6 x - 9) + (3 x - 2) = 4 - (7 x - 8)