Question

243²/⁵, Solve this expression?

Answer 1

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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