please solve for brainliest!

Answer:
x = 0
Step-by-step explanation:
[tex]16^{x^{2} }[/tex] = [tex]8^{0}[/tex]
[tex]2^{4x^{2} }[/tex] = [tex]2^{0}[/tex]
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
4x² = 0
x² = 0
x = 0
So, the answer is x = 0.