1. Algebraic Operations Adding / Sub Indices Negative Indices
S4 Credit
Adding / Sub Indices
Negative Indices
Fraction Indices
Harder Indices

2. Starter Questions 1. Simplify the following fractions : S4 Credit

3. Algebraic Operations www.mathsrevision.com Learning Intention
S4 Credit
Learning Intention
Success Criteria
To explain how to multiply and divide indices by adding / subtracting powers.
Understand basic rules for indices.
2. Simplify indices.

4. Indices Can you spot the connection !
S4 Credit
an is a short hand way of writing
a x a x a ……. (n factors)
a is called the base number
and n is called the index number
Calculate : 23 x 22
2 x 2 x 2
x 2 x 2
= 32
Calculate : 25
= 32
Can you spot the connection !

5. Indices am x an = a(m + n) simply add powers
S4 Credit
4 x 4 x 4
÷ 4 x 4
= 4
Calculate : 43 ÷ 42
Calculate : 41
= 4
Can you spot the connection !
am x an = a(m + n) simply add powers
am ÷ an = a(m - n) simply subtract powers

6. What Goes In The Box ? 56a3 b3 x b5 = 2m4 x 3m33= 3f4 x 3g5 = b8 6m37
S4 Credit
b3 x b5 =
2m4 x 3m33=
3f4 x 3g5 = b8
6m37
y9 ÷ y5 =
10s23 ÷2s11 =
8a3 x 7a0 = y4
5s12
56a3

7. Created by Mr Lafferty Maths Dept
Indices
S4 Credit
Now try MIA
Ex 2.1 & Ex3.1
Ch9 (page 176)
16-Sep-18
Created by Mr Lafferty Maths Dept

8. Starter Questions 1. Simplify the following fractions : S4 Credit

9. Algebraic Operations www.mathsrevision.com Learning Intention
S4 Credit
Learning Intention
Success Criteria
To explain how to hand fractional indices of powers.
Understand basic rules for fractional indices.
2. Simplify fractional indices.

10. Fractions as Indices More Rules By the division rule S4 Credit

11. Fractions as Indices
S4 Credit
More Rules

12. Re-write each with positive indices
What Goes In The Box ?
S4 Credit
Re-write each with positive indices
9a3
w11 1

13. Fractions as Indices
S4 Credit
More Rules

14. What Goes In The Box ? (b3)5 = (2m4)2 = b15 4m8 (y9)-5 = (10s2)3 =
S4 Credit
(b3)5 =
(2m4)2 =
b15
4m8
(y9)-5 =
(10s2)3 =
y-45
1000s6

15. Created by Mr Lafferty Maths Dept
Indices
S4 Credit
Now try MIA
Ex 4.1 & Ex5.1
Ch9 (page 178)
16-Sep-18
Created by Mr Lafferty Maths Dept

16. Starter Questions 1. Calculate 5 + 2 x 3 S4 Credit

17. Algebraic Operations www.mathsrevision.com Learning Intention
S4 Credit
Learning Intention
Success Criteria
To explain how to hand fractional indices of powers.
Understand basic rules for fractional indices.
2. Simplify fractional indices.

18. Fractions as Indices
S4 Credit

19. Fractions as Indices
S4 Credit

20. Fractions as Indices In general we have S4 Credit

21. Fractions as Indices
S4 Credit
Final Rule

22. Examples : Simplify the following
Fractions as Indices
S4 Credit
Examples : Simplify the following

23. Fractions as Indices
S4 Credit
Examples

24. Fractions as Indices
S4 Credit
Examples

25. Fractions as Indices Example : Change to index form
S4 Credit
Example : Change to index form
Example : Change to radical sign √

26. Created by Mr Lafferty Maths Dept
Indices
S4 Credit
Now try MIA
Ex 6.1
Ch9 (page 181)
16-Sep-18
Created by Mr Lafferty Maths Dept