What is (5x^2y^8)/(5x^4y^8) ?

The solution to (5x^2y^8)/(5x^4y^8) is 1/(x^2)

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simplify (5x^2y^8)/(5x^4y^8)

simplify

\frac{5 x ^{2} y ^{8}}{5 x ^{4} y ^{8}}

\frac{1}{x ^{2}}

Solution steps

\frac{5 x ^{2} y ^{8}}{5 x ^{4} y ^{8}}

Cancel the common factor:

5

= \frac{x ^{2} y ^{8}}{x ^{4} y ^{8}}

Cancel the common factor:

y^{8}

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

Simplify

\frac{x ^{2}}{x ^{4}} : \frac{1}{x ^{2}}

= \frac{1}{x ^{2}}

1^{2} + x^{2} = 2^{2}

x^{2} + 18 x = - 80

x^{2} = 12 x - 20

\frac{3 x ^{3} y ^{- 1} z ^{- 1}}{x ^{- 4} y ^{0} z ^{0}}

\frac{1}{- \frac{24}{25}}