Simplify (x^4y^3)/(x^2y^5)

Problem

(x^4*y^3)/(x^2*y^5)

Solution

1. Apply the quotient rule for exponents, which states that (a^m)/(a^n)=a^(m−n) for any non-zero base a

2. Subtract the exponents of the x terms by calculating $4 - 2$.

x^(4−2)=x^2

3. Subtract the exponents of the y terms by calculating $3 - 5$.

y^(3−5)=y^(−2)

4. Rewrite with positive exponents using the rule a^(−n)=1/(a^n)

y^(−2)=1/(y^2)

5. Combine the results into a single fraction.

Final Answer

(x^4*y^3)/(x^2*y^5)=(x^2)/(y^2)

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