exponential notation

2. DESCRIBING THE
EXPONENT AND THE
BASE IN A NUMBER
EXPRESSED IN
EXPONENTIAL NOTATION

3. EXPONENTIAL
NOTATION
It is a “shorthand”
way of writing
repeated
multiplication.

4. base
exponent

5. BASE
is the number used as
a repeated factor

6. EXPONENT
indicates the number of
times you are going to
multiply the base or is used
as factor.

7. 4² IS READ AS
“4 TO THE SECOND POWER”
OR
“4 RAISED TO THE POWER
OF 2 ”OR
“4 SQUARED”.
IT MEANS 4 X 4

8. EXAMPLE: 5 X 5 X 5 X 5
• ARE THE FACTORS THE SAME?
• WHAT ARE THE FACTORS USED?
• HOW MANY TIMES THE NUMBER
5 IS USED REPEATEDLY AS A
FACTOR?
• WHAT OPERATION IS USED?

9. FACTOR FORM
5×5×5×5
EXPONENTIAL FORM
5⁴

10. FACTOR FORM
EXPONENTIAL
FORM
BASE EXPONENT
1. 12 x 12 x 12 x
12 x 12 x 12
2. 8 x 8 x 8 x 8 x
8 x 8 x 8
3. 2 x 2 x 2 x 2 x
2 x 2 x 2 x 2
4. 4 x 4 x 4 x 4 x
4 x 4 x 4 x 4 x 4
5. 7 x 7 x 7 x 7 x
7 x 7 x 7 x 7 x 7 x
7

11. EXPONENTIAL
FORM
BASE EXPONENT FACTOR FORM
1. 27
2. 54
3. 63
4. 134
5. 93

12. GIVING THE VALUE OF
A NUMBER EXPRESSED
IN EXPONENTIAL
NOTATION

13. TO FIND THE VALUE OF A
NUMBER EXPRESSED IN
EXPONENTIAL NOTATION, USE
THE BASE AS A REPEATED
FACTOR THE NUMBER OF TIMES
INDICATED BY THE EXPONENT.

14. BASE EXPONENT MEANING
Example:
53 5 3 5x5x5
1. 25
2. 34
3. 82

15. EXPRESS EACH REPEATED
MULTIPLICATION IN
EXPONENTIAL NOTATION
4. 4 X 4 X 4 X 4 X 4
5. 6 X 6 X 6 X 6

16. GRACE SAVED ₱3.00 ON DAY
1, ₱9.00 ON DAY 2, ₱27.00
ON DAY 3, ₱81.00 ON DAY 4,
AND SO ON. IF THE PATTERN
CONTINUES, HOW MUCH WILL
SHE SAVE ON THE
7TH DAY. HOW MUCH WILL BE
HER TOTAL SAVINGS?

17. DAY
1
2
3
4
5
6
7
SAVINGS
P3.00
P9.00
P27.00
P81.00
P243.00
P729.00
P2,187.00

18. DAY PATTERN SAVINGS
1 P3.00 P3.00
2 P3.00 x P3.00 P9.00
3 P3.00 x P3.00 x P3.00 P27.00
4 P3.00 x P3.00 x P3.00 x P3.00 P81.00
5
P3.00 x P3.00 x P3.00 x P3.00 x
P3.00
??
6
P3.00 x P3.00 x P3.00 x P3.00 x
P3.00 x P3.00
??
7
P3.00 x P3.00 x P3.00 x P3.00 x
P3.00 x P3.00 x P3.00
??

19. GRACE
SAVED A
TOTAL OF
P3,279.00
DAY 1: 31 = 3
DAY 2: 32 = 9
DAY 3: 33 = 27
DAY 4: 34 = 81
DAY 5: 35 = 243
DAY 6: 36 = 729
DAY 7: 37 = 2 187

20. 1)4⁵ = 4 X 4 X 4 X 4 X 4 =
2)9² = 9 X 9 =
3)5⁶ = 5 X 5 X 5 X 5 X 5 =
4)8³ = 8 X 8 X 8 =
5)13⁴ = 13 × 13 × 13 × 13 =

21. EXPONENTIAL
NOTATION
VALUE
1. 3 x 3 x 3 x 3 x 3
2. 4 x 4 x 4 x 4
3. 6 x 6 x 6
4. 7 x 7 x 7
5. 8 x 8

22. THINK OF A NUMBER RAISED TO A
WHOLE NUMBER EXPONENT TO
GET THE ANSWER OF:
64
16
100
49
256

23. A. GIVE THE VALUE OF EACH
NUMBER AND WRITE YOUR
ANSWERS ON YOUR ANSWER
SHEET.
1) 2⁷ = ___
2) 5⁶= ___
3) 6² = ___
4) 9⁴ = ___
5) 11⁵ = ___

24. B. ANALYZE AND SOLVE. WRITE YOUR
ANSWERS ON YOUR ANSWER SHEET.
6) EIGHT RAISED TO 5 IS _______.
7) EVALUATE X4 IF X = 12
8) IF A = 7, WHAT IS THE VALUE OF A⁵?
9) TEN RAISED TO 6 IS ______.
10) IF B = 8, WHAT IS THE VALUE OF B⁵?