Index Laws

Index Law 1

100

4^3 xx 4^5

4⁸

200

v^4 xx v^7

v^11

300

4t^7 xx 3t^2

12t^9

400

6g^5j^4 xx 7g^3j

42g^8j^5

500

2bf^6 xx 5f^4h^7 xx 3b^5h^2

30b^6f^10h^9

Index Law 2

100

6^7 / 6^5

6²

200

y^7 / y

y^6

300

(10g^7) / (5g^2)

2g^5

400

(36t^7h^9) / (3t^3h^5)

12t^4h^4

500

Fully simplify this expression

(8c^7b^5) / (10c^3d^2)

(4c^4) / (5d^2)

Index Law 3

100

(5^2)^4

5^8

200

(f^4)^5

f^20

300

(b^3)^4*b^3

b^15

400

(4(i^5)^2)/i^3

4i^7

500

(4g^3h^5)^2

16g^6h^10

Combined Operations

100

(2^5xx2^7)/2^3

2^9

200

(4g^5 xx10g^3)/(8g)

5g^7

300

(2b^3)^2 xx 4b^2

8b^8

400

(n^2)^3 xx 2n^7d

dn^13

500

(3(w^3)^3 xx 8w^5m^8)/(24(w^2)^4

w^6m^8

Random

100

In which movie series do characters use ‘The Force’?

Star Wars

200

Who wrote 'Harry Potter'

J.K. Rowling

300

Which actor played the character of Jack Sparrow in Pirates of the Caribbean?

Jonny Depp

400

What gas do humans need to breathe in to survive?

Oxygen

500

True or False: An octopus has three hearts.

True