There are 8 Laws of Exponents.

1) If the bases are same and there is a multiplication between them then, add the exponents keeping the base common.

i) 3

= 3

ii) b

= b

= b

= b

(iii) (-6)

= (-6)

= (-6)

(iv) 8

= 8

= 8

If the bases are same and there is a division between them then, subtract the 2nd exponent from the 1st keeping the base common.

(i) 4

= (4 x 4 x 4 x 4 x 4)/(4 x 4 x 4)

= 4

= 4

(ii) p

= p

(iii) 8

= 8

= 8

(iv) 15

= 15

= 15

(v)(5/2)

= (5/2)

= (5/2)

3) If there are double exponents then, multiply the exponents and keep the base same.

(i) (2

= 2

= 2

(ii)(-8

= (-8)

= (-8)

(iii) (y

= y

= y

4) Any number with exponent zero ,the answer is 1.

(i) (1000)

= 1

(ii) a

= 1

(iii) (-25)

= 1

5) If the exponent is 1 then the number itself is the answer.

(i) 20

= 20

(ii) b

= b

(iii) (2000)

= 2000

6) If the exponent is negative so to make it positive write the reciprocal of it.

i) 4

= 1 / 4

= 1 / 16

2) 1 / 3

= 3

7) Two different bases have same exponents then bring the two bases under common parenthesis and keep the same exponent.

(i) 2

= ( 2 x 3 )

= 6

= 6 x 6 = 36

(ii) 6

= ( 6/3)

= 2

= 2 x 2 = 4

(iii) 3

= 3

= 3

= 81 / 27

= 3

• Laws of Exponents

• Rational Exponents

• Integral Exponents

• Scientific notation

• Solved examples on Scientific Notation

• Solved Examples on Exponents

GMAT

GRE

1st Grade

2nd Grade

3rd Grade

4th Grade

5th Grade

6th Grade

7th grade math

8th grade math

9th grade math

10th grade math

11th grade math

12th grade math

Precalculus

Worksheets

Chapter wise Test

MCQ's

Math Dictionary

Graph Dictionary

Multiplicative tables

Math Teasers

NTSE

Chinese Numbers

CBSE Sample Papers