Questions : (54/250)1/3 equals
a) 9/25
b) 3/5
c) 27/125
d) 3√2/5
Doubt by Lakshay
Solution :
(54/250)1/3
= (27/125)1/3
= [(3×3×3)/(5×5×5)]1/3
= [(3/5)^3]1/3
= [3/5]3×(1/3)
= (27/125)1/3
= [(3×3×3)/(5×5×5)]1/3
= [(3/5)^3]1/3
= [3/5]3×(1/3)
= 3/5
Hence, b) would be the correct option.