Question

evaluate:
$5^{-2}$

Explanation:

Step1: Recall negative exponent rule

The rule for negative exponents is $a^{-n} = \frac{1}{a^n}$ (where $a
eq0$ and $n$ is a positive integer). For $5^{-2}$, we apply this rule, so $5^{-2}=\frac{1}{5^2}$.

Step2: Calculate the positive exponent

Calculate $5^2$, which is $5\times5 = 25$. So now we have $\frac{1}{25}$.

Answer:

$\frac{1}{25}$