To determine the value of [tex]\((0.7)^2 - (0.1)^2\)[/tex], we can follow these steps:
1. First, calculate [tex]\((0.7)^2\)[/tex]:
[tex]\[
(0.7)^2 = 0.49
\][/tex]
2. Next, calculate [tex]\((0.1)^2\)[/tex]:
[tex]\[
(0.1)^2 = 0.01
\][/tex]
3. Subtract the result of [tex]\((0.1)^2\)[/tex] from [tex]\((0.7)^2\)[/tex]:
[tex]\[
(0.7)^2 - (0.1)^2 = 0.49 - 0.01 = 0.48
\][/tex]
So, the value of [tex]\((0.7)^2 - (0.1)^2\)[/tex] is [tex]\(0.48\)[/tex].
Thus, the correct answer is:
a) 0.48