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

Question

a ) x^6y^5
b ) x^5y
c ) x^4y
d ) x^4

Answer 1

To simplify the expression x^5y^2/xy^2, we can divide the x terms and the y terms separately.

Dividing the x terms, we subtract the exponents: x^5 / x = x^(5-1) = x^4.

Dividing the y terms, we subtract the exponents: y^2 / y^2 = y^(2-2) = y^0 = 1.

So, x^5y^2/xy^2 simplifies to x^4.

Therefore, the correct answer is d) x^4.