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| 1. |
Find the number of zeros at the end in product `5^6 .6^7 .7^8 .8^9 .9^(10) .30^(31)`. |
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Answer» Given product `P=5^(6).6^(7).7^(8)..(30)^(31)` `=[(5)^(6)(10)^(11)(15)^(16)(20)^(21)(25)^(26)(30)^(31)]lamda " " ("where" lamda " is an integer")` `therefore` Exponent of 5 in P=6+11+16+21+2(26)+31=137 `therefore` Number of zeros =137 |
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