A mathematical puzzle challenges readers to determine the last two digits of 7 raised to the power of 9999. The text begins by noting that 7 cubed (7 to the power of 3) equals 343, which ends in 43. It then poses the question of whether one can determine the final two digits of the significantly larger calculation, 7 to the power of 9999. This requires understanding patterns in exponents and potentially utilizing modular arithmetic to solve. The problem invites readers to engage with number theory and explore a non-trivial mathematical property. Finding the solution relies on identifying cyclical patterns within the last two digits of powers of 7. The puzzle highlights an interesting aspect of exponential calculations beyond simple computation.