Question

When applying the exponent properties, what is the equivalent expression to 216√32713
?

(2 points)
the equivalent expression is:

Answer 1

To simplify the expression \( 216\sqrt{32713} \), we begin by identifying the factors and possible simplifications.

1. **Identify \( 216 \)**:
\[
216 = 6^3
\]

2. **Rewrite the expression**:
\[
216\sqrt{32713} = 6^3\sqrt{32713}
\]

3. **Leave \( \sqrt{32713} \) as is since it doesn't simplify further in a simple manner without additional context (like factoring or size information)**.

Therefore, the expression simplifies to:
\[
6^3\sqrt{32713}
\]

4. **Since you are asking for an equivalent expression, we can write it as:**
\[
\frac{6^3}{1} \cdot \sqrt{32713}
\]

Thus, the equivalent expression is:
\[
6^3\sqrt{32713}
\]

If you want it in terms of simpler radical form, it would remain as:
\[
216\sqrt{32713}
\]

Ultimately, confirming that \( 6^3 \) is 216 means it stands full. If there’s no factorization available for \( 32713 \) to simplify further, we keep it as is:

**The final answer is:**
\( 6^3\sqrt{32713} \)