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The expression given is:

\[
\frac{4^3}{4^4}
\]

To simplify this, you can use the rule of exponents:

\[
\frac{a^m}{a^n} = a^{m-n}
\]

Applying this to the current problem:

\[
\frac{4^3}{4^4} = 4^{3-4} = 4^{-1}
\]

Now, we can simplify \( 4^{-1} \) to:

\[
4^{-1} = \frac{1}{4}
\]

Thus, the simplified expression is:

\[
\frac{1}{4}
\]

Would you like any further details or clarifications?

Here are 5 related questions for practice:
1. Simplify \( \frac{5^6}{5^3} \).
2. What is the value of \( \frac{2^5}{2^7} \)?
3. How do you simplify \( \frac{6^4}{6^2} \)?
4. Calculate \( \frac{8^2}{8^5} \).
5. What is \( \frac{3^3}{3^3} \)?

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

Simplify the expression \( \frac{4^3}{4^4} \).

Simplify the exponent expression \( \frac{4^3}{4^4} \) using the rule of exponents. This solution demonstrates step-by-step how to subtract the exponents to arrive at the final result of \( \frac{1}{4} \). Suitable for students in Grades 6-8.

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