1. **State the problem:** We are given the function $y=\pi^{2t}$ and want to understand its form and behavior. 2. **Formula and explanation:** The function is an exponential function where the base is $\pi$ (approximately 3.14159) raised to the power $2t$. This means the exponent depends linearly on $t$ and is multiplied by 2. 3. **Rewrite the function:** We can write the function as $$y=\pi^{2t} = (\pi^2)^t$$ which shows it as an exponential function with base $\pi^2$. 4. **Important rules:** For exponential functions $y=a^t$ where $a>0$ and $a \neq 1$, the graph passes through $(0,1)$ because $a^0=1$. The function grows if $a>1$ and decays if $0