What is the result of (x/y) to the power of a?

The expression ((\frac{x}{y})^a) can be rewritten using the properties of exponents. Specifically, when you raise a quotient to a power, you apply that power to both the numerator and the denominator. This follows the rule:

[

\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n}

]

Applying this rule to the given expression, we have:

[

\left(\frac{x}{y}\right)^a = \frac{x^a}{y^a}

]

This demonstrates that the result of raising (\frac{x}{y}) to the power of (a) is equivalent to raising (x) to the power of (a) and dividing it by raising (y) to the power of (a). Therefore, the correct answer reflects this property and is indeed (\frac{x^a}{y^a}).