The document provides an educational overview of exponents, defining key terms such as base, exponent, and exponential value, and outlining laws of exponents including product, quotient, and power laws. It emphasizes the importance of understanding how to manipulate exponents in mathematical expressions, highlighting specific cases for each law. Additionally, it includes examples and references for further learning.

1. Nazish Jamali – 008
Exponents

2. Objectives
After this presentation
students will be able to
define
 Identify Base,
Exponents/Indices, value
 Laws of Exponents/Indices
 Product law
 Quotient law
 Power law

3. Identify base, exponents and value
• Base: Base is a number which is to be multiplied by
itself according to exponent.
• Exponent or Index: Exponent is a number which
represents the number of times, a base is to be
multiplied by itself.
• Value or exponential form: The product of base with
itself according to the exponent is the value of
exponential form.

4. For Example
4
3 = 81 Or 3x3x3x3 = 81
Here : 81 is the value
3 is the base
4 is the power

5. Activity: Identify base and exponent
4_______
7
2
Base: 4/7
Exponent: 2
Value: 4x4 / 7x7 = 16 / 49

6. Video on Laws of Exponents

7. Laws of Exponents
1) Product Law: There are two cases of product law
C a s e 1 : When bases are same but exponents are
different, then we add only their powers and bases
just keeping same.
Example : a x a = a
m n m + n

8. Laws of Exponents
1) Product Law: There are two cases of product law
C a s e 2 : When bases are different but exponents are
same, then we multiply only their bases and power
just keeping same.
Example : a x b = (ab)
n n n

9. Laws of Exponents
2) Quotient law: There are two cases of Quotient law
C a s e 1 : When bases are same but exponents are
different, then we subtract only their exponents and
base just keeping same.
Example : a ÷ a = (a)
m n m-n

10. Laws of Exponents
2) Quotient law: There are two cases of Quotient law
C a s e 2 : When bases are different but exponents are
same, then we just divide their bases and their
exponents just keeping same.
Example : a ÷ b =
m m a
b
_____
m

11. Laws of Exponents
3) Power Law : There are two cases of Power law
C a s e 1 : If a is a rational number and m, n are
natural numbers, then power law is:
Example : ( a ) = a
m mnn

12. Properties of Power Laws
1) a = 1
2) a =
3) ( -a ) is positive if n is even.
4) ( -a ) is negative if n is odd.
0
1
a
___
m
n
n

13. Conclusion
• Exponents are a useful tool. They are used to show
repeated multiplication. The number of times a
number is multiplied by itself is the exponent.
However, when we rewrite an expression using
exponents, we need to be careful of the placement
of negatives and parentheses.

14. Reference
• Class 7 book Sindh text Jamshoro (BOOK)
• https://www.youtube.com/watch?v=23vM
tno2fd8
• http://www.softschools.com/math/topics/
exponents/