What is (11x^{1/3}y^{-2/5})/(121x^{-2/3)y^{3/5}} ?

The solution to (11x^{1/3}y^{-2/5})/(121x^{-2/3)y^{3/5}} is x/(11y)

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simplify (11x^{1/3}y^{-2/5})/(121x^{-2/3)y^{3/5}}

simplify

\frac{11 x ^{\frac{1}{3}} y ^{- \frac{2}{5}}}{121 x ^{- \frac{2}{3}} y ^{\frac{3}{5}}}

\frac{x}{11 y}

Solution steps

\frac{11 x ^{\frac{1}{3}} y ^{- \frac{2}{5}}}{121 x ^{- \frac{2}{3}} y ^{\frac{3}{5}}}

Factor the number:

121 = 11 \cdot 11

= \frac{11 x ^{\frac{1}{3}} y ^{- \frac{2}{5}}}{11 \cdot 11 x ^{- \frac{2}{3}} y ^{\frac{3}{5}}}

Cancel the common factor:

11

= \frac{x ^{\frac{1}{3}} y ^{- \frac{2}{5}}}{11 x ^{- \frac{2}{3}} y ^{\frac{3}{5}}}

Simplify

\frac{x ^{\frac{1}{3}}}{x ^{- \frac{2}{3}}} : x

= \frac{x y ^{- \frac{2}{5}}}{11 y ^{\frac{3}{5}}}

Simplify

\frac{y ^{- \frac{2}{5}}}{y ^{\frac{3}{5}}} : \frac{1}{y}

= \frac{x}{11 y}

lo g_{2} (2 \frac{1}{4})

f (2 x)

\frac{x ^{2}}{- x}

\frac{\frac{x ^{2} - 4}{x - 3}}{\frac{x ^{2} + 7 x - 18}{x + 9}}

What is (11x^{1/3}y^{-2/5})/(121x^{-2/3)y^{3/5}} ?
The solution to (11x^{1/3}y^{-2/5})/(121x^{-2/3)y^{3/5}} is x/(11y)