Which of the following is the correct simplification of (x^2y^3)/(xy^2)?

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Question: Which of the following is the correct simplification of (x^2y^3)/(xy^2)?

Options:

Correct Answer: x^(2-1)y^(3-2)

Solution:

Using the quotient rule for exponents, (x^2y^3)/(xy^2) simplifies to x^(2-1)y^(3-2) = xy.

Which of the following is the correct simplification of (x^2y^3)/(xy^2)?

Which of the following is the correct simplification of (x^2y^3)/(xy^2)?

Step 1: Identify the expression you need to simplify: (x^2y^3)/(xy^2).
Step 2: Break down the expression into two parts: the x terms (x^2 and x) and the y terms (y^3 and y^2).
Step 3: Apply the quotient rule for exponents to the x terms: x^2/x = x^(2-1) = x^1 = x.
Step 4: Apply the quotient rule for exponents to the y terms: y^3/y^2 = y^(3-2) = y^1 = y.
Step 5: Combine the results from Step 3 and Step 4: x * y = xy.
Step 6: Write the final simplified expression: xy.

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