Which of the following is equivalent to X^5 y^2/xy^2 when x≠0

Question

And y≠0

X^6 y^5

X^5y

X^4y

X^4

Answer 1

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.