Using the exponent properties, which of the following expressions is equivalent to 2 3/2 × 2 −1/2

To simplify the expression \( 2^{3/2} \times 2^{-1/2} \) using exponent properties, we can apply the property that states \( a^m \times a^n = a^{m+n} \).

1. **Identify the exponents**:
- The exponent of the first term is \( \frac{3}{2} \).
- The exponent of the second term is \( -\frac{1}{2} \).

2. **Add the exponents**:
\[
\frac{3}{2} + \left(-\frac{1}{2}\right) = \frac{3}{2} - \frac{1}{2} = \frac{3 - 1}{2} = \frac{2}{2} = 1
\]

3. **Combine the terms using the results of the exponent addition**:
\[
2^{3/2} \times 2^{-1/2} = 2^{1} = 2
\]

Thus, the expression \( 2^{3/2} \times 2^{-1/2} \) is equivalent to \( 2 \).