Which list correctly states the standard properties of $y=b^x$ for an admissible base $b$? Where $b>0$ and $b\ne 1$.

Given $f\left(t\right)=3^{2t-1}$, which correctly identifies the base and the exponent expression?

Evaluate $5^0$.

Solve $5^{2x-1}=125$ for $x$.

Approximate the value of ${1.0001}^{10000}$. Round the final answer to four decimal places.