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Answer :
To simplify the expression [tex]$5^{-2}$[/tex], we use the rule for negative exponents:
[tex]$$
a^{-n} = \frac{1}{a^n}
$$[/tex]
Applying this rule with [tex]$a = 5$[/tex] and [tex]$n = 2$[/tex], we have:
[tex]$$
5^{-2} = \frac{1}{5^2}
$$[/tex]
Next, calculate [tex]$5^2$[/tex]:
[tex]$$
5^2 = 5 \times 5 = 25
$$[/tex]
Substitute back into the expression:
[tex]$$
5^{-2} = \frac{1}{25}
$$[/tex]
Thus, the expression simplifies to [tex]$\frac{1}{25}$[/tex], which corresponds to option B.
[tex]$$
a^{-n} = \frac{1}{a^n}
$$[/tex]
Applying this rule with [tex]$a = 5$[/tex] and [tex]$n = 2$[/tex], we have:
[tex]$$
5^{-2} = \frac{1}{5^2}
$$[/tex]
Next, calculate [tex]$5^2$[/tex]:
[tex]$$
5^2 = 5 \times 5 = 25
$$[/tex]
Substitute back into the expression:
[tex]$$
5^{-2} = \frac{1}{25}
$$[/tex]
Thus, the expression simplifies to [tex]$\frac{1}{25}$[/tex], which corresponds to option B.
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