Question:Unit digit in `7^4`is 1.`
Answer :.Unit digit in `7^68`is 1. :.Unit digit in `7^71`is 3. `[1 xx 7 xx 7 xx 7` gives unit digit 3] Again,every power of 6 will give unit digit 6. :. Unit digit in `6^59` is 6. Clearly,unit digit in `3^4` is 1. So,unit digit in `3^64` is 1 :.Unit digit in `3^65` is 3. :. Unit digit in `(7^71 xx 6^59 xx 3^65)` is 4. `[3 xx 6 xx 3`gives unit digit 4]`
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Unit digit in `7^4`is 1.`