Indices revision

Multiplying

100

10³ x 10⁷ =

10¹⁰

200

h⁸ x h⁶ = 

h¹⁴

300

3n² x 4n =

12n³

400

3v⁴w² x 2v³w⁵ = 

6v⁷w⁷

500

5x³y² x 3xy = 

15x⁴y³

Dividing

100

4²⁰ ÷ 4⁴ =

4¹⁶

200

a¹² ÷ a² =

a¹⁰

300

10d¹⁵ ÷ 5d³ =

2d⁵

400

20m⁹ n⁶ ÷ 4m⁵n⁴ =

5m⁴n²

500

30k¹⁶o¹¹ ÷ 3o⁵k¹⁵ =

10ko⁶

Brackets

100

(2²)² = 

2⁴ or 16

200

(k⁵)⁵=

k²⁵

300

(10g)⁴ =

10⁴g⁴

400

(ab²)⁴ =

a⁴b⁸

500

(2p⁴q²r³)⁵ =

2⁵p²⁰q¹⁰r¹⁵

Power of zero

100

7⁰ =

1

200

(-e)⁰ =

1

300

-e⁰ =

-1

400

g⁰h =

h

500

(gh)⁰ +2b⁰ =

3

Negative

100

write using positive index 

8^-3

1/8³

200

write using positive index 

x^-5

1/x⁵

300

write using positive index 

5m^-3n^-6

5/m³n⁶

400

write using positive index 

-4p^-9q⁵r^-4

-4q⁵/p⁹r⁴

500

write using positive index 

(3/5a^-2)

3a²/5 or 3/5/a²