Simplify y^2x^8/x^6y^2. A. X^2/y b.x^-2y c. X^4y d. X^2

Answer 1

To simplify the expression (y^2x^8)/(x^6y^2), we can use the rules of exponents.

First, we divide the y terms: y^2 / y^2 = 1.

Next, we subtract the x exponents: x^8 / x^6 = x^(8-6) = x^2.

Combining these results, we have (y^2x^8)/(x^6y^2) = 1*x^2/1 = x^2.

Therefore, the simplified expression is x^2, which corresponds to option D.