This problem uses the rule for dividing exponential expressions with the same base:

$\frac{a^m}{a^n} = a^{m-n}$

Problem:

$\frac{5^7}{5^3}$

Solution:

Using the rule:

$5^{7-3} = 5^4$

Final Answer:

$5^4$

Let me know if you have any questions or would like to see more examples!

Related Questions:

1. How do you expand $5^4$ into standard form?
2. What happens when the exponents are equal (e.g., $\frac{5^3}{5^3}$)?
3. How would you simplify $\frac{x^8}{x^2}$?
4. Can you apply this rule to bases that are not numbers (e.g., $\frac{y^5}{y^2}$)?
5. What is the rule for multiplying exponential expressions with the same base?

Tip: Always ensure the base is the same before applying exponent rules.