Year 10 Pre-Apps Index Laws

Evaluating Expressions

100

7²

49

200

3² + 2³

17

300

Evaluate:

(5^2) xx (2^3)

200

400

Evaluate

(3+2 xx 3)^2

81

500

Evaluate. Leave your answer in fraction form.

5^-3

¹/₁₂₅

Index Law 1

100

Simplify.

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

Index Law 3

100

(5^2)^4

5^8

200

(c^4)^5

c^20

300

(2b^3)^4

16b^12

400

(4g^3h^5)^2

16g^6h^10

500

4(3i^-2)^2

36/i^4

Combined Operations

100

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

2^9

200

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

5g^7

300

(5b^3)^2 xx 4b^2

100b^8

400

(3d^6n^2)^3 xx 2n^7d

54d^19n^13

500

(3(2w^3m)^3 xx 10w^5m^8)/(24(wm^2)^4

10w^10m^3