What is (2x^5y^8)/(8x^3y^8) ?

The solution to (2x^5y^8)/(8x^3y^8) is (x^2)/4

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simplify (2x^5y^8)/(8x^3y^8)

simplify

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

\frac{x ^{2}}{4}

Solution steps

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

Cancel the common factor:

y^{8}

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

Factor the number:

8 = 2 \cdot 4

= \frac{2 x ^{5}}{2 \cdot 4 x ^{3}}

Cancel the common factor:

2

= \frac{x ^{5}}{4 x ^{3}}

Simplify

\frac{x ^{5}}{x ^{3}} : x^{2}

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

(x - 1) (2 x - 8)

lo g_{5} (64) \cdot lo g_{2} (5)

(4 x - 8)^{2}

(2 x + 8 y) (2 x - 8 y)

\frac{3}{x ^{2} - 49} - \frac{9}{x ^{2} - 14 x + 49}