Evaluate the following expressions: Problem 45: (0.1)2 - (0.01)2 / 0.0001 + 1. Problem 46: 3.25 3.20 - 3.20 3.05 / 0.064. Problem 47: (0.6)4 - (0.5)4 / (0.6)2 + (0.5)2.

$$(0.1)^2 = 0.01$$ $$(0.01)^2 = 0.0001$$

$$99 + 1 = 100$$

The correct option is (d).

The final answer is $\boxed{\text{100}}$.

:
We need to evaluate the expression $\frac{3.25 \times 3.20 - 3.20 \times 3.05}{0.064}$.

$$\frac{0.64}{0.064} = 10$$

The correct option is (d).

The final answer is $\boxed{\text{10}}$.

:
We need to evaluate the expression $\frac{(0.6)^4 - (0.5)^4}{(0.6)^2 + (0.5)^2}$.

Here, $a = (0.6)^2$ and $b = (0.5)^2$.

$$(0.6)^4 - (0.5)^4 = ((0.6)^2)^2 - ((0.5)^2)^2 = ((0.6)^2 - (0.5)^2)((0.6)^2 + (0.5)^2)$$

$$(0.6)^2 = 0.36$$ $$(0.5)^2 = 0.25$$

$$0.36 - 0.25 = 0.11$$

The correct option is (c).

The final answer is $\boxed{\text{0.11}}$.