Discussion

Explanation:

We know,

Last two digits of 2^{10×odd number} = 24, and

Last two digits of 2^{10×even number} = 76.

2⁵⁴ = (2^{50 + 4}) = 2^10×5 × 2⁴

Now, last 2 digits of 2^10×5 × 2⁴ = last two digits of (2^10×5) × last two digits of (2⁴)

= 24 × 16 = 84

Hence, 84.

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