Basic Concept of Exponents

1. Exponential
Notation
Grade 6

2. 01
02
03
By the end of the lesson, the learners will
be able to:
1.Define and identify the parts of an
exponential expression (base and
exponent).
2.Write repeated multiplication in
exponential form.
3.Apply Law of Exponents 1 (Product of
Powers with the Same Base).
4.Solve exercises involving the product of
powers and write answers in both
exponential and standard form.
Parts of an
Exponential Expression
Law of Exponents
Exponential and
Standard Form.

3. Parts of an
Exponential
Expression
01

4. 01 Parts of an Exponential Expression
An exponent tells how many times a number
is multiplied by itself.
4
3
= 3 x 3 x 3 x 3
4
3

5. 01
An exponent is a little number on the upper
right of a regular or base number.
Parts of an Exponential Expression
4
3
Exponent
Base

6. 01 Parts of an Exponential Expression
How to read an Exponential Expression?
4
3
Exponent
Base
three to the fourth power

7. 01 Parts of an Exponential Expression
How to read an Exponential Expression?
three to the second
power or
three squared
2
3
3
3
three to the
third power or
three cubed

8. 01
Read the exponents.
Parts of an Exponential Expression
two to the third power or two cubed
3
2
six to the fifth power
5
6
four to the second power or four squared
2
4
seven to the fourth power
4
7

9. 01 Parts of an Exponential Expression
What is the exponent?
3
2
2 x 2 x 2 =
5 x 5 x 5 x 5 =
3 x 3 =
4 x 4 x 4 x 4 x 4 =
7 x 7 x 7 x 7 x 7 x 7 =
4
5
2
3
5
4
6
7

10. 01 Parts of an Exponential Expression
What is the base and exponent?
2
9
9 x 9 =
10 x 10 x 10 =
8 x 8 x 8 x 8 x 8 =
2 x 2 x 2 x 2 =
1 x 1 x 1 x 1 x 10 x 10 =
3
10
5
8
4
2
4
1
2
x 10

11. 01
What is the Expanded form?
Parts of an Exponential Expression
2 x 2 x 2
3
2
6 x 6 x 6 x 6 x 6
5
6
4 x 4
2
4
7 x 7 x 7 x 7
4
7

12. 01 Parts of an Exponential Expression
Standard Form
3
7 = 7 x 7 x 7
= 5 x 5 x 5 x 5
= 3 x 3
= 4 x 4 x 4 x 4 x 4
= 2 x 2 x 2 x 2 x 2 x 2
4
5
2
3
5
4
6
2
= 343
= 625
= 9
= 1024
= 64

13. Work out the
value of 8
2
A 16
B 64
C 8
Q1 Exponents

14. Work out the
value of 8
2
Q1 Exponents
A 16
B 64
C 8

15. A 81
B 27
C 12
Work out the
value of 3
4
Q2 Exponents

16. A 81
B 27
C 12
Q2 Exponents
Work out the
value of 3
4

17. A 6
B 8
C 16
Q3 Exponents
Work out the
value of 2
3

18. A 6
B 8
C 16
Q3 Exponents
Work out the
value of 2
3

19. 01 Parts of an Exponential Expression

20. 01 Parts of an Exponential Expression
How could you find without using a calculator?
20
10
10 x 10 x 10 x 10 x 10
10 x 10 x 10 x 10 x 10
10 x 10 x 10 x 10 x 10
10 x 10 x 10 x 10 x 10
20
10 =
100000000000000000000

21. 01 Parts of an Exponential Expression
Expanded Form to Standard Form
50000 + 8000 + 300 + 20 = 58 320

22. 01 Parts of an Exponential Expression
Expanded Form to Standard Form

23. 01 Parts of an Exponential Expression

24. Law of Exponents
(Product of Powers
with the Same Base)
02

25. 02
Rewriting
repeated
multiplication
Take a look at these examples:
a.
b.
(2 × 2) × (2 × 2 × 2)
81 16 = 65
−

26. The rule states that:
02
Law of
Exponents
Example:
You add the
exponents when:
✔️the base is the
same, and
✔️you are
multiplying.

27. 02
Guided
Practice
Write the product in
exponential and
standard form.

28. 02 Law of Exponents (The Quotient of Two Powers)
The rule states that:
Example:

29. 02
Guided
Practice
Write the product in
exponential and
standard form.

30. Exponential Form and
Standard Form
03

31. 03 Exponential Form and Standard Form
Express the product in Exponential Form and
Standard Form.
3 x 3 x 8 x 8 =
9 x 9 x 2 x 2 x 2 =
4 x 4 x 4 x 3 x 3 x 3 =
5 x 5 x 10 x 10 x 10 x 10 =
2 x 2 x 6 x 2 x 2 x 2 x 6 =

32. BOOK ACTIVITY
Let’s Do Basic
pages 108-109
1-15
Let’s Go Beyond
pages 109
1-10

33. Well done!
How did you do?