Simplify.
$\frac{27 x^{2} y^{4}}{9 x^{3} y^{5}}$

Answer

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Answer

Final Answer: $\frac{3}{x y}$

Steps

Step 1 ：Given the expression $\frac{27 x^{2} y^{4}}{9 x^{3} y^{5}}$

Step 2 ：Divide the coefficients 27 and 9 to get 3

Step 3 ：Subtract the exponents of x, $2 - 3 = - 1$

Step 4 ：Subtract the exponents of y, $4 - 5 = - 1$

Step 5 ：The simplified form of the expression is $3 x^{- 1} y^{- 1}$

Step 6 ：This can also be written as $\frac{3}{x y}$

Step 7 ：Final Answer: $\frac{3}{x y}$