Evaluate the following numerical expressions: (4/4 5) and ((45)2 / 4) * 80.

$$\left(\frac{4}{4} \times 5\right)$$

First, simplify the fraction:

$$\frac{4}{4} = 1$$

Then, multiply by 5:

$$1 \times 5 = 5$$

The value of the first expression is $\boxed{5}$.

$$\frac{(4 \times 5)^2}{4} \times 80$$

First, calculate the product inside the parenthesis:

$$4 \times 5 = 20$$

Next, square the result:

$$(20)^2 = 400$$

Then, divide by 4:

$$\frac{400}{4} = 100$$

Finally, multiply by 80:

$$100 \times 80 = 8000$$

The value of the second expression is $\boxed{8000}$.