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नर है की८ ८० व्यू 1ok 1 (LTSE) LU kAR |
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Answer» Letp=3527^654Before answering this question let us discuss on what factors will the unit digit ofpwill depend: For any two nature numberxandythe unit digit of of its productxywill be the product of their respective unit digit. So forp=3527⋅3527⋅3527⋅............654timesthe unit digit will be nothing but the unit digit ofq=7⋅7⋅7⋅.....654timestimes ∴We now have to find the unit digit forq=7^654Here we need to do an important observation that the unit digit in exponent of7repeat after a particular interval (upon increasing exponent by 4).7^1→7 7^2→9 7^3→3 7^4→1 7^5→7 So now we need to find the remainder when654is divided by4654mod4=2 →q=7^654=7^4n+2 wheren=163∴∴unit digit ofq is9∴∴unit digit of3527^654is9
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