1. Let's classify the equation $2^2 (400^{x+1}) = 80$. An exponential function has the form $f(x) = a^x$, and an exponential equation involves expressions with variables in the exponent. 2. Rewrite the equation: $2^2 = 4$, so it's $4 imes 400^{x+1} = 80$. 3. Divide both sides by 4: $$400^{x+1} = \frac{80}{4} = 20.$$ This is an equation where the variable $x$ is in the exponent, so it is an **exponential equation**. 4. Now, identify which one is an exponential inequality among: - $0.65 \leq (0.8)^x$ - $3 > 27x^3$ - $10^2 \geq 1000x$ - $49 < 7^3$ 5. An exponential inequality has the variable in the exponent with an inequality sign. Here, $0.65 \leq (0.8)^x$ has variable $x$ in the exponent and an inequality sign, so it is **an exponential inequality**. **Final answers:** - The equation $2^2 (400^{x+1}) = 80$ is an **Exponential Equation**. - The exponential inequality is **$0.65 \leq (0.8)^x$**.