Index Laws 1/2

Law 1

100

a² x a³ =

a⁵

200

a²¹ x a¹⁷

a³⁸

300

2a x 2a³

4a⁴

400

15a² x 10a²²

150a²⁴

500

12a³b²c x 4abc

48a⁴b³c²

Law 2

100

a⁵ / a²

a³

200

a²³ / a¹⁸

a⁵

300

a⁷b² / a²b

a⁵b

400

21a³ / 7a

3a²

500

45ab²c¹⁵ / 9abc¹¹

5bc⁴

Factorising

100

Factorise 3x + 3

3 (x+1)

200

Factorise 32x + 8

8(4x+1)

300

Factorise 25x +15

5(5x + 3)

400

Factorise 10x +21xy

x(10 + 21y)

500

Factorise 10x² +15x³y

5x²(2 + 3xy)

Scientific Notation

100

What is the base of a²

a

200

What is the index form of 3 x 3 x 3 x 3 x 3

3⁵

300

What is 3³

27

Expanding

100

Expand 3(x+2)

3x + 6

200

Expand 5(x² + 10)

5x² + 50

300

Expand 7x(3y+6)

21xy +42x

400

Expand x(2x + 53)

2x² + 53x

500

5 + 10

15