-   Given expression = [(0.6)2]2 -[(0.5)2]2 (0.6)2 + (0.5)2     = [(0.6)2]2 + [(0.5)2]2 [(0.6)2]2 - [(0.5)2]2 (0.6)2 + (0.5)2       = (0.6)2 - (0.5)2       = (0.6 + 0.5) (0.6 - 0.5)       = (1.1 x 0.1) = 0.11

The expression to be evaluated is:

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

We can simplify this expression using the formula for the difference of two squares, which is:

a^2 - b^2 = (a + b)(a - b)

Using this formula, we can rewrite the expression as:

(0.6)^4 - [(0.5)^2 (0.6)^2 - (0.5)^4]

We can then factor out (0.5)^2 from the second term in the brackets:

(0.6)^4 - (0.5)^2 [(0.6)^2 - (0.5)^2]

Using the formula for the difference of two squares again, we can simplify the second term in the brackets:

(0.6)^4 - (0.5)^2 [(0.6 + 0.5)(0.6 - 0.5)]

Simplifying further:

(0.6)^4 - (0.5)^2 (1.1)(0.1)

Now we can substitute the values and evaluate:

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

= (0.1296) - (0.00625) + (0.25)

= 0.39335

Therefore, the answer is option B, 0.11.

To summarize, we used the formula for the difference of two squares to simplify the expression, and then substituted the values and evaluated to get the final answer.

If you think the solution is wrong then please provide your own solution below in the comments section .