To solve \(\frac{3^7}{3^4}\), we apply the quotient rule of exponents. The rule states that when dividing powers with the same base, we subtract the exponents:

\[
\frac{3^7}{3^4} = 3^{7-4} = 3^3
\]

Now, calculate \(3^3\):

\[
3^3 = 3 \times 3 \times 3 = 27
\]

Thus, \(\frac{3^7}{3^4} = 27\).

Would you like further details, or do you have any questions?

Here are 5 related questions to expand your understanding:
1. What is \(\frac{4^6}{4^2}\)?
2. Simplify \(\frac{5^9}{5^3}\).
3. What is the value of \(\frac{2^8}{2^5}\)?
4. How does the exponent rule apply to \(\frac{x^{10}}{x^6}\)?
5. Simplify \(\frac{7^{12}}{7^8}\).

**Tip**: When dividing exponents with the same base, always subtract the exponents!

Discover how to simplify the expression \(\frac{3^7}{3^4}\) by applying the quotient rule of exponents. Learn the step-by-step solution that helps you subtract exponents and find the final value. Perfect for students in Grades 6-8 looking to strengthen their algebraic skills.

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