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Answer :
To solve for [tex]\(5^{-2}\)[/tex], let's break it down:
1. Understanding Negative Exponents:
- A negative exponent means that you take the reciprocal of the base and then apply the positive exponent.
- So, [tex]\(5^{-2}\)[/tex] is the same as [tex]\(\frac{1}{5^2}\)[/tex].
2. Calculate the Exponent:
- [tex]\(5^2\)[/tex] equals 25.
3. Reciprocal Operation:
- Taking the reciprocal gives us [tex]\(\frac{1}{25}\)[/tex].
Therefore, [tex]\(5^{-2}\)[/tex] is equal to [tex]\(\frac{1}{25}\)[/tex].
The correct answer to the question, "Which is the same as [tex]\(5^{-2}\)[/tex]?" is [tex]\(\frac{1}{25}\)[/tex].
1. Understanding Negative Exponents:
- A negative exponent means that you take the reciprocal of the base and then apply the positive exponent.
- So, [tex]\(5^{-2}\)[/tex] is the same as [tex]\(\frac{1}{5^2}\)[/tex].
2. Calculate the Exponent:
- [tex]\(5^2\)[/tex] equals 25.
3. Reciprocal Operation:
- Taking the reciprocal gives us [tex]\(\frac{1}{25}\)[/tex].
Therefore, [tex]\(5^{-2}\)[/tex] is equal to [tex]\(\frac{1}{25}\)[/tex].
The correct answer to the question, "Which is the same as [tex]\(5^{-2}\)[/tex]?" is [tex]\(\frac{1}{25}\)[/tex].
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