Without working out 7⁴ in full, find its remainder on division by 5.

1. 7 leaves 2 on division by 5. 2⁴ = 16, which leaves 1. Check: 7⁴ = 2401 = 5 × 480 + 1.

Without working out $7^{4}$ in full, find its remainder on division by 5.

Class 8Parity, Remainders and Digital RootsNumber System

7 leaves 2 on division by 5.

2^{4} = 16

, which leaves 1. Check:

7^{4} = 2401 = 5 \times 480 + 1

Answer: B) 1

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