Index Laws & Scientific Notation

Evaluate/Expand

100

Expand 

7^5

7 xx 7 xx7xx7xx7

200

Expand 

3^5xx3^2

3xx3xx3xx3xx3xx3xx3

300

Evaluate 

6^2

36

400

Evaluate

7^2-4^2

33

500

Evaluate

9^2+3^3-5^2

83

Index Laws 1 & 2 (Multiplication & Division)

100

Simplify

j^4xxj^6xxj^9

j^19

200

Simplify

p^20/p^11

p^9

300

Simplify

(18r^6)/(3r^2)

6r^4

400

Simplify

(y^5 xx y^7 xx y^2)/(y^8)

y^6

500

Simplify

(8p^6xx3p^4)/(16p^5)

(3p^5)/2

Index Laws 3, 4, 5 & 6 (Powers, Zero & Distribution)

100

Simplify

(35z^4)^0

1

200

Simplify

(3^3/2^2)^10

3^30/2^20

300

Simplify

c^0+10

11

400

Simplify

(4p^2q^5)^3

64p^6q^10

500

Simplify

((w^5)^2xx(p^7)^3)/((w^2)^2xx(p^3)^5

w^6p^6

Scientific Notation

100

Write using scientific notation

500 000 000 000

5xx10^11

200

Write using standard decimal notation

6.35xx10^5

63500

300

Write using standard decimal notation

8xx10^(-7)

0.0000008

400

Write using scientific notation

0.000082

8.2xx10^(-5)

500

A day on Venus lasts for  5.81xx10^3 hours. How many hours is this?

5810

That's 242 days!

Mixed Index Laws

100

Simplify

(p^12)^3/((p^10)^2

p^16

200

Simplify

5a^6b^2xxa^2xx3ab^3

15a^9b^5

300

Simplify

(15s^8t^3)/(5s^2t^2)xx2st^4

6s^7t^5

400

Simplify

(4p^2q^7xx(3p^3q)^2)/(6(pq)^3xxp^5q^4)

6q^2

500

Simplify

((5a^4b^-3)^2)/(a^-2b) -: (5(a^-1b)^-3)/(ab^-4)

(5a^8)/b^8