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

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/