Which of the following is equivalent to X^5 y^2/xy^2 when x≠0
And y≠0
X^6 y^5
X^5y
X^4y
X^4
The correct answer is X^4.
To simplify the expression X^5 y^2/xy^2, we can cancel out the common factors in the numerator and denominator.
The X term in the numerator cancels out with one of the X terms in the denominator, leaving X^5 in the numerator.
The y^2 term in the numerator cancels out with one of the y^2 terms in the denominator, leaving y^0 = 1 in the denominator.
So the simplified expression is X^5/1 = X^5.
Therefore, the equivalent expression is X^5.