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Answer :
To solve the expression [tex]\(5^{-2}\)[/tex], you need to understand how negative exponents work. A negative exponent means taking the reciprocal of the base raised to the opposite positive exponent.
So, [tex]\(5^{-2}\)[/tex] is the same as:
1. Step 1: Convert to a positive exponent:
[tex]\[
5^{-2} = \frac{1}{5^2}
\][/tex]
2. Step 2: Calculate [tex]\(5^2\)[/tex]:
[tex]\[
5^2 = 5 \times 5 = 25
\][/tex]
3. Step 3: Put it all together:
[tex]\[
5^{-2} = \frac{1}{25}
\][/tex]
Hence, the expression [tex]\(5^{-2}\)[/tex] simplifies to [tex]\(\frac{1}{25}\)[/tex].
Therefore, the correct answer is [tex]\(\frac{1}{25}\)[/tex].
So, [tex]\(5^{-2}\)[/tex] is the same as:
1. Step 1: Convert to a positive exponent:
[tex]\[
5^{-2} = \frac{1}{5^2}
\][/tex]
2. Step 2: Calculate [tex]\(5^2\)[/tex]:
[tex]\[
5^2 = 5 \times 5 = 25
\][/tex]
3. Step 3: Put it all together:
[tex]\[
5^{-2} = \frac{1}{25}
\][/tex]
Hence, the expression [tex]\(5^{-2}\)[/tex] simplifies to [tex]\(\frac{1}{25}\)[/tex].
Therefore, the correct answer is [tex]\(\frac{1}{25}\)[/tex].
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