Indices Review

Multiplying Indices

100

a³ x a

a4

200

2⁵ x 2⁵ x 2^-3     State in index form     

2⁷   

300

2e³ x 5e²

10e⁵

400

5m²n¹² x 3m³n⁶ x -2mn²

-30m⁶n²⁰

500

12m²n⁶ x 3m⁸n² x m^-3n^-5

36m⁷n³

Dividing Indices

100

d^11/(d^2)

d⁹

200

28h¹⁰ ÷ 7h⁵

4h⁵

300

16a⁶b³ ÷ 2ab²

8a⁵b

400

10g⁷h⁶ ÷ 2g³h⁴

5g⁴h²

500

(26m^5n^3)/(8m^2 n^5 )

(13m^3)/(4n^2 )

Indices with powers

100

(h³)²

h⁶

200

(2m⁶)⁴

16m²⁴

300

(h^-3)⁵

h^-15

400

(3m³n⁵)³

27m⁹n¹⁵

500

2a³(4ab⁴)³

128a⁶b¹²

Harder Indices

100

a⁶ x b² x a³ x b⁴

a⁹b⁶

200

(2x⁵y³)⁰

1

300

(25x^4×4x^2)/(5x^8) 

20/(x^2)   or 20 x^^-2

400

(2x)³ x (3x)²

72x^5

500

(4x^4 x (2x^3)^2)/(3x^2)^3

(64x^4)/27

Random

100

When is the last day of school?

June 27

200

How many students are in year 8 SL maths class

23

300

How many countries are represented in the class?

8

400

How many Maths class does Mr. Daniel Teaches?

3

500

What is the full name of the Maths subject lead

Kostas Mathioudakis