(x^n)/y^(1/2)

To simplify the expression (x^n)/y^(1/2), we need to manipulate the exponents and simplify the square root.

Let's break down the steps:

Step 1: Simplify the denominator:
The denominator has a square root, y^(1/2). To simplify this, we can rewrite it as y^(1/2) = √y.

Step 2: Apply the exponent rules for division:
To divide two terms with the same base, we subtract their exponents. In this case, x^n/y^(1/2) can be written as x^n/(√y).

Step 3: Simplify the resulting expression:
Since we cannot combine x^n and √y any further, this is the simplest form of the expression.

Therefore, the simplified expression is x^n/(√y).