(5^0.25) x (125^0.25) / (256^0.10) x (256^0.15) = ?

50.25 x 1250.25 = (5 * 125)0.25  [amXbm = (ab)m]

= 6250.25

= (54 0.25

=  54*  0.25  [(am)n= (a)mn]

= 51

= 5

(2560.10) x (2560.15) = 256 (0.10+0.15)  (am * an = am+n)

= (256) 0.25

= (44)0.25

= 4 4*0.25  [(am)n= (a)mn]

= 41

= 4

So,

(50.25) x (1250.25) / (2560.10) x (2560.15) = 5/4

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