How do you divide $\frac{3 \sqrt{2 x^{6} y}}{5 \sqrt{8 x^{5} y^{6}}}$ $(3sqrt(2x^6y))/(5 sqrt(8x^5 y^6))$ ?

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Answer 1 · 2015-04-03T17:53:21

$\frac{3 \sqrt{2 x^{6} y}}{5 \sqrt{8 x^{5} y^{6}}}$ $(3sqrt(2x^6y))/(5sqrt(8x^5y^6))$

$= \frac{3}{5} \cdot \sqrt{\frac{2 x^{6} y}{8 x^{5} y^{6}}}$ $= 3/5 * sqrt((2x^6y)/(8x^5y^6))$

$= \frac{3}{5} \cdot \sqrt{\frac{1}{4} \cdot x y^{- 5}}$ $= 3/5 * sqrt(1/4 * xy^(-5))$

$= \frac{3}{5} \cdot \sqrt{{(\frac{1}{2})}^{2} \cdot x y^{- 5}}$ $= 3/5 * sqrt((1/2)^2 * xy^(-5))$

$= \frac{3}{5} \cdot \frac{1}{2} \cdot \sqrt{x y^{- 5}}$ $=3/5*1/2*sqrt(xy^(-5))$

$= \frac{3}{10} \sqrt{x y^{- 5}}$ $=3/10sqrt(xy^(-5))$

How do you divide 3√2x6y5√8x5y6(3sqrt(2x^6y))/(5 sqrt(8x^5 y^6))?