Which of the following expressions is equivalent to 216√32713 when applying the exponent properties?(1 point)

To simplify the expression \( 216\sqrt{32713} \) using exponent properties, we first express the square root in terms of exponents.

Recall that the square root of a number can be expressed using a fractional exponent:
\[
\sqrt{x} = x^{1/2}
\]
Thus, we can write:
\[
216\sqrt{32713} = 216 \cdot (32713^{1/2})
\]

Next, if we consider \( 216 \) itself, it can be expressed as \( 216 = 6^3 \). Therefore, we can rewrite the expression entirely in terms of base \( 6 \) and the other term:
\[
216\sqrt{32713} = 6^3 \cdot (32713^{1/2})
\]

So, the expression \( 216\sqrt{32713} \) is equivalent to \( 6^3 \cdot (32713^{1/2}) \).

If you need to combine them further, you could express this in a single term,
\[
= 6^3 \cdot 32713^{1/2}
\]

However, without additional context or options provided, we can't simplify it further in terms of more elementary expressions or fundamental constants.

Let me know if you have specific answer choices or need further assistance!