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243²/⁵, Solve this expression? |
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Answer» Given (243 )^2/5 Prime FACTORIZATION of 243 3| 243 ______ 3| 81 ______ 3| 27 ______ 3| 9 ______ ****3 243 = 3^5 Now , ( 243 )^2/5 = ( 3^5 )^2/5 = 3^( 5 × 2/5 ) [ SINCE , ( a^m )ⁿ = a^mn ] = 3² = 9 Therefore , ( 243 )^2/5 = 9 ••••• |
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