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Laws of exponents | Maths


  • am x an = am+n
  • am / an = am-n
  • (am)n  = amn
  • (ab)n = anbn
  • ( a/ b)n = ( an / bn )
  • a0 = 1 where a ≠ 0
  • a-m = 1/am where a ≠ 0



Questions
1.251/4 x 251/4 =?
(Women Civil Excise Officer 2018)
(251/4 )² = 251/2 = 5

2. (8/125)⅔ × (5/2)² എത്രയാണ് ?
(STORE KEEPER-KSFDC 2018)
(2/5)2 x (5/2)2 =1

3.If 4P = 86, then P is
(Beat Forest Officer 2018)
22P = 218
2P= 18
P=9

4.What is to be added to 236 to get 237 ?
(Beat Forest Officer 2018)
236 + n = 237
n = 237 - 236 = 236 (2 - 1) = 236

5.105 x 10-8=
(WOMEN POLICE CONSTABLE NCA 2018)
10(5-8)= 10-3=0.001

6.64n/3 x 8-n/6 / 512-n/2
(Secretary,Block Panchayat 2018)
64n/3 x 8-n/6 / 512-n/2
4n x 1/8n/6 x 512n/2
4n x 1/ 23n/6  x (16 √2)n
4n x 1/ (√2)n  x (16 √2)n
4n x 16n
43n

7.9910 + 100 x 100° എത്രയാണ്? (Security Guard- Government Secretariat 2018)
9910 + 100 = 10010

8.Simplify : (5–1 ÷6–1) (⅕)–1
(Civil Police Officer 2018)
1/5 x 6 x 5 =6

9.2a+b = 4 x 8 x 16, then (a + b)² = ?
(Junior Assistant KSFE /KSEB/KSRTC 2018)
2a+b =22+3+4 = 29
(a+b)² = 9² =81

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