Final answer:
The student's question is about the calculation of exponents for variables affecting the period of oscillation of a gas bubble from an underwater explosion, which requires knowledge of fluid dynamics and dimensional analysis. However, the question does not provide sufficient information to calculate the values of a, b, and c.
Step-by-step explanation:
The question concerns the oscillation period of a gas bubble formed from an underwater explosion, which is said to be proportional to certain physical quantities raised to various powers, specifically static pressure (P) raised to the power of a, density (d) raised to the power of b, and total energy (E) of the explosion raised to the power of c. To determine the values of a, b, and c, one must consider the dimensional analysis in physics that correlates these variables to the period of oscillation. However, the necessary information to solve this problem is not provided within the given context.
It is worth noting that this is a complex problem that normally involves a fundamental understanding of fluid dynamics and oscillations, and the application of dimensional analysis or relevant equations derived from physical principles would be required to find the specific values of a, b, and c.