Question
The unit’s digit in the product 1771 ×
2663 × 3365 isSolution
71 = 7, 72 = 49, 73 = 343, 74 = 2401 31 = 3, 32 = 9, 33 = 27, 34 = 81 i.e. the digit at unit’s place gets repeated after power 4. Unit 6 remains same for any power. Required unit’s digit = Unit’s digit in the product of 73 × 6 × 31 = 4
Induce
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