Question

evaluate. write your answer as a fraction.
$5^{-2}=\square$

Explanation:

Step1: Recall negative exponent rule

A negative exponent means the reciprocal: $a^{-n} = \frac{1}{a^n}$

Step2: Calculate positive exponent

$5^2 = 5 \times 5 = 25$

Step3: Take reciprocal of the result

$5^{-2} = \frac{1}{5^2} = \frac{1}{25}$

Answer:

$\frac{1}{25}$