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Find the unit digit of 3^(47) + 7^(52)....

Find the unit digit of `3^(47) + 7^(52)`.

Text Solution

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The unit digit of the given expression will be equal to the unit digit of the sum of the unit digit of both the terms individually.
Now, unit digit of `3^47` is 7 (since it will be equal to `3^3`) and the unit digit of `7^52` is 1 (since it will be equal to `7^4`)
Thus the unit digit of `3^47+7^52` is 7+1=8.
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