SBI PO Prelims Written Test Qs.(Quantitative Aptitude) :: Simplification - Discussion

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Explanation:
5^1x5^1/2x5^3+5^-3/2 = 5^(a+2)
5^3/2x5^3+5^-3/2
5^9/2+5^-3/2
5^6/2
5^3 = 5^(a+2)
now, 3 = a+2
a=1