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Laws of exponents | Maths

a m x a n = a m+n a m / a n = a m-n (a m ) n  = a mn (ab) n = a n b n ( a/ b) n = ( a n / b n ) a 0 = 1 where a ≠ 0 a -m = 1/a m where a ≠ 0 Questions 1. 25 1/4 x 25 1/4 =? ( Women Civil Excise Officer 2018 ) (25 1/4 )² = 25 1/2 = 5 2. (8/125)⅔ × (5/2)² എത്രയാണ് ? ( STORE KEEPER-KSFDC 2018 ) (2/5) 2 x (5/2) 2 =1 3. If 4 P = 8 6 , then P is ( Beat Forest Officer 2018 ) 2 2P = 2 18 2P= 18 P=9 4. What is to be added to 2 36 to get 2 37 ? ( Beat Forest Officer 2018 ) 2 36 + n = 2 37 n = 2 37 - 2 36 = 2 36 (2 - 1) = 2 36 5. 10 5 x 10 -8 = ( WOMEN POLICE CONSTABLE NCA 2018 ) 10 (5-8) = 10 -3 =0.001 6. 64 n/3 x 8 -n/6 / 512 -n/2 ( Secretary,Block Panchayat 2018 ) 64 n/3 x 8 -n/6 / 512 -n/2 4 n x 1/8 n/6 x 512 n/2 4 n x 1/ 2 3n/6  x (16 √2) n 4 n x 1/ (√2) n  x (16 √2) n 4 n x 16 n 4 3n 7.9910 + 100 x 100° എത്രയാണ്? ( Security Guard- Government Secretariat 2018 )...