https://file.aiquickdraw.com/mathbot/file/1726709062128xy8348wk.jpg

Let's solve the expression given in the image:

\[
\frac{3^{-5} \cdot (3^3)^{3.81} \cdot 81}{3^6}
\]

### Step 1: Simplify the Exponents

1. **Simplify \((3^3)^{3.81}\):**

   \[
   (3^3)^{3.81} = 3^{3 \cdot 3.81} = 3^{11.43}
   \]

2. **Simplify \(81\) as a power of 3:**

   \[
   81 = 3^4
   \]

   So the expression now becomes:

   \[
   \frac{3^{-5} \cdot 3^{11.43} \cdot 3^4}{3^6}
   \]

### Step 2: Combine the Exponents

Use the property \(a^m \cdot a^n = a^{m+n}\):

\[
\frac{3^{-5 + 11.43 + 4}}{3^6} = \frac{3^{10.43}}{3^6}
\]

### Step 3: Simplify the Division

Use the property \(\frac{a^m}{a^n} = a^{m-n}\):

\[
3^{10.43 - 6} = 3^{4.43}
\]

### Step 4: Compare to Answer Choices

The given options are in the form of powers of 3. Since \(3^{4.43}\) is approximately \(3^4\), and there is no direct option that perfectly matches this, but if we round it down, the closest simpler option among the choices would be \(3^3\). However, the calculation suggests that the closest match should be closer to \(3^4\).

Given the exact context, the provided calculation suggests rounding towards \(3^3\) might be intentional as an approximate answer.

### Conclusion
The answer selected in the image is \(3^3\), but based on the computation, \(3^{4.43}\) would round to \(3^4\).

Would you like more details or have any further questions?

**Related questions:**
1. How does rounding affect exponentiation results?
2. What are other ways to express non-integer exponents?
3. How do powers of 3 compare in magnitude?
4. Why is it important to simplify exponents before solving?
5. Can you derive the steps to approximate exponents without a calculator?

**Tip:** When working with exponents, always look for ways to simplify the terms first; this often makes the problem much easier to solve.

Hasil dari perhitungan di bawah ini adalah.. \(\frac{3^{-5} \cdot (3^3)^{3.81} \cdot 81}{3^6}\)

Solve the expression \(\frac{3^{-5} \cdot (3^3)^{3.81} \cdot 81}{3^6}\) by simplifying exponents and applying the rules of exponentiation. Learn key techniques to combine powers and solve similar problems. Suitable for students in Grades 10-12.

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