The expression \( x^{16} \cdot x^{16} \) can be simplified using the properties of exponents. According to the property \( a^m \cdot a^n = a^{m+n} \):
\[ x^{16} \cdot x^{16} = x^{16 + 16} = x^{32} \]
None of the provided responses seem to directly match \( x^{32} \). If you are looking for an equivalent expression in terms of square roots, \( x^{32} \) can also be expressed as:
\[ (x^2)^{16} = \sqrt{x^{32}}^2 \]
Since \( x^{32} \) does not appear among the options you've given, could you please confirm them or provide additional context?