Simplify the given algebraic expression using only positive exponents.

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Problem

Simplify the given algebraic expression using only positive exponents.

Step-by-step solution

To simplify, subtract the exponents of like bases: $x^{7-5} = x^2$ and $y^{2-3} = y^{-1}$. Combine these to get $5x^2y^{-1}$, which simplifies to $\frac{5x^2}{y}$ using positive exponents.

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Answer

\frac{5x^2}{y}