Laws of exponents

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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