1.

243²/⁵, Solve this expression?

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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