Simplify the Expression: x⁹/x² Using Power Quotient Rule

To solve the expression $\frac{x^9}{x^2}$, we will apply the Power of a Quotient Rule for Exponents. This rule states that $\frac{a^m}{a^n} = a^{m-n}$, where $a$ is a non-zero number, and $m$ and $n$ are integers. In our case, $a$ is $x$, $m$ is 9, and $n$ is 2.

Now, apply the formula:

• The expression can be rewritten as $x^{9-2}$.
• Calculate the exponent: $9 - 2 = 7$.

Substitute back to get the simplified expression: $x^7$.

The solution to the question is: $x^7$