Answer :
To solve the expression [tex]\(5^{-2}\)[/tex], we need to understand what a negative exponent indicates. A negative exponent means that you take the reciprocal of the base raised to the positive of that exponent. In simpler terms:
[tex]\(5^{-2}\)[/tex] is the same as [tex]\(\frac{1}{5^2}\)[/tex].
Now, let's calculate [tex]\(5^2\)[/tex]:
[tex]\[5^2 = 5 \times 5 = 25.\][/tex]
So, [tex]\(\frac{1}{5^2} = \frac{1}{25}\)[/tex].
This means that the expression [tex]\(5^{-2}\)[/tex] is equivalent to:
A. [tex]\(\frac{1}{25}\)[/tex].
Therefore, the correct choice is A. [tex]\(\frac{1}{25}\)[/tex].
[tex]\(5^{-2}\)[/tex] is the same as [tex]\(\frac{1}{5^2}\)[/tex].
Now, let's calculate [tex]\(5^2\)[/tex]:
[tex]\[5^2 = 5 \times 5 = 25.\][/tex]
So, [tex]\(\frac{1}{5^2} = \frac{1}{25}\)[/tex].
This means that the expression [tex]\(5^{-2}\)[/tex] is equivalent to:
A. [tex]\(\frac{1}{25}\)[/tex].
Therefore, the correct choice is A. [tex]\(\frac{1}{25}\)[/tex].