Question

(243) ³/⁵- Solve it.

Answer 1

hello mate!.....

$given...... \\ \\ (243) {}^{ \frac{3}{5} } \\ \\ = (3 {}^{5} ) {}^{ \frac{3}{5} } \\ \\ = (3) {}^{3} \\ \\ = 27 \\ \\ hope \: it \: helps \: u \: dear......$

Answer 2

Solution :

Resolving 243 into product prime,

3 | 243
______
3 | 81
______
3 | 27
______
3 | 9
______
****3

Now ,

( 243 )^3/5

= ( 3^5 )^3/5

= 3^(5×3/5)

[ Since , ( a^m )ⁿ = a^mn ]

= 3³

= 27

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