First book published by Ajaiy at the age of 9 on exponents for students.

1. EXPONENTS
𝐴 = 𝜋𝑟2−𝑏 ± √𝑏2 − 4𝑎𝑐
2𝑎
𝑎2
+ 𝑏2
= 𝑐2

2. PAGE 1
EXPONENTS
1.1 The basics of exponents
1.2 Exponential Identities
1.2.1 First law
1.2.2 Second law
1.2.3 Third law
1.2.4 Fourth law
1.2.5 Fifth law

3. PAGE 2
EXPONENTS
Exponents is one of the basic unit
in geometry. They are used in
many formulas. So now, let us
have a look at them .
𝑥1
= 𝑥
This one is an easy one . For
example, if x=2 , 21
= 2.
𝑥 𝑜
= 1

4. PAGE 3
This does not work with 0.
00
≠ 1
So, you knew what these two
equations meant, we will go to
the next ones .
𝑥2
= x *x
𝑥3
= 𝑥 ∗ 𝑥 ∗ 𝑥
𝑥 𝑛
= 𝑥 ∗ 𝑥 ∗. .∗ 𝑥

5. PAGE 4
Sometimes ,something looks
easy ,but it is very hard .
For example , although the
equation given below looks
harmless , it is a tough one to
do.
68
= 1,679,616
For negative exponents we use
this important convention.

6. PAGE 5
𝑥−𝑛
=
1
𝑥 𝑛
There is a special case which
you need to keep in your mind.
𝑥1 2⁄
= √ 𝑥
If x = 25,
251 2⁄
= √25 = 5

7. PAGE 6
EXPONENTIAL IDENTITIES
1.2.1 First law
This is the first law.
This is a quick example.

8. PAGE 7
1.2.2 Second law
This is the second law.
Here is a quick example.

9. PAGE 8
1.2.3 Third law
This is the third law.
Here is a quick example.

10. PAGE 9
1.2.4 Fourth law
This is the fourth law.
Here is a quick example.

11. PAGE 1O
1.2.5 Fifth law
This is the fifth law.
Here is a quick example.

12. THANK
YOU

13. ABOUT THE BOOK
BOOK PUBLISHED BY : P.AJAIY
Exponents is a book about the
basics of algebra - exponents -
and its identities . It is used in
many algebra equations or
algebraic expressions . This book
is packed with the basics of
exponents and its identities .