Discussion

Explanation:

Now, 62⁴⁸ = 2⁴⁸ × 31⁴⁸

Last two digits of 2⁴⁸ = 2^10×4+8 = last two digits of (2^10×4) × last two digits of (2⁸)
= 76 × 2⁸ = 56.

Note: last two digits of 76 × 2^a = last two digits of 2^a. (a > 1)

Last two digits of 31⁴⁸ = 41

∴ Last two digits of 62⁴⁸ = last two digits of (2⁴⁸) × last two digits of (31⁴⁸) = 56 × 41 = 96.

Hence, 96.

» Your doubt will be displayed only after approval.