Determine the value of (5-2 )2 .

Determine the value of (5^-2)² .

A -50

B -20

C \(\frac{1}{{625}}\)

D \(\frac{2}{{25}}\)

Correct Answer: Option C

Solution:

(5^-2)² = 5^-4 = \(\frac{1}{{{5^{4\;}}}} = \frac{1}{{5 \times 5 \times 5 \times 5}} = \frac{1}{{625}}.\)