Question

While simplifying the expression (3x^5y^3)/(4x^2y^2), the exponent of x is _________and the exponent of y is __________.

Option 1: 5,3
Option 2: 3,1
Option 3: 1,3
Option 4: 2,2

Answer 1

The simplified expression's exponents for x and y are 3 and 1 respectively, corresponding to Option 2.

Step-by-step explanation:

When simplifying the expression (3x^5y^3)/(4x^2y^2), we use the rules of Division of Exponentials. To simplify, divide the coefficients and subtract the exponents of the variables with like bases. For variable x, subtract the exponent in the denominator from the exponent in the numerator: 5 - 2 = 3. For variable y, do the same: 3 - 2 = 1. The resulting exponents are 3 for x and 1 for y. Therefore, after simplification, the exponent of x is 3 and the exponent of y is 1, which corresponds to Option 2.