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

Problem

(x4*y3)/(x2*y5)

Solution

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

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

x(4−2)=x2

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/(an)

y(−2)=1/(y2)

5. Combine the results into a single fraction.

Final Answer

(x4*y3)/(x2*y5)=(x2)/(y2)

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