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EXPONENTS
𝐴 = 𝜋𝑟2−𝑏 ± √𝑏2 − 4𝑎𝑐
2𝑎
𝑎2
+ 𝑏2
= 𝑐2
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
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
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
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.
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
PAGE 6
EXPONENTIAL IDENTITIES
1.2.1 First law
This is the first law.
This is a quick example.
PAGE 7
1.2.2 Second law
This is the second law.
Here is a quick example.
PAGE 8
1.2.3 Third law
This is the third law.
Here is a quick example.
PAGE 9
1.2.4 Fourth law
This is the fourth law.
Here is a quick example.
PAGE 1O
1.2.5 Fifth law
This is the fifth law.
Here is a quick example.
THANK
YOU
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 .

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Algebra

  • 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.
  • 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 .