Discussion

Explanation:

Now, 78³⁷⁹ = 2³⁷⁹ × 39³⁷⁹

Last two digits of 2³⁷⁹ = 2^10×37+9 = last two digits of (2^10×37) × last two digits of (2⁹) 
= 24 × 12 = 88

Last two digits of 39³⁷⁹ = Last two digits of (39²)¹⁸⁹ × last two digits of (39¹)
= Last two digits of (21)¹⁸⁹ × last two digits of (39¹)
= 81 × 39
= 59

∴ Last two digits of 78³⁷⁹ = last two digits of (2³⁷⁹) × last two digits of (39³⁷⁹) = 88 × 59 = 92.

Hence, 92.

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