Problem (Algebra):
Let $T=9$. Compute $\sqrt{\sqrt{\sqrt[T]{10^{T^{2}-T}}}}$.

Solution:
The given radical equals $\left(\left(\left(10^{T^{2}-T}\right)^{\frac{1}{T}}\right)^{\frac{1}{2}}\right)^{\frac{1}{2}}=10^{(T-1) / 4}$. With $T=9$, this simplifies to $10^{2}=100$

Final answer: 100