To simplify the expression $\frac{x^5}{x^2}$, you apply the rule of exponents:

$\frac{x^a}{x^b} = x^{a-b}$

Here, $a = 5$ and $b = 2$, so:

$\frac{x^5}{x^2} = x^{5-2} = x^3$

Thus, the simplified expression is:

$x^3$

Would you like more details or have any other questions?

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1. What are the laws of exponents, and how do they apply to various expressions?
2. How do negative exponents affect simplification of expressions?
3. What happens when you divide terms with the same base but different exponents?
4. Can you simplify expressions with fractional exponents in a similar way?
5. What is the rule for multiplying terms with the same base?

Tip: Remember that when dividing powers of the same base, subtract the exponents!