Surds & Index Laws Ext

Index Laws

100

y² x y³

y⁵

200

x⁶ / x²

x⁴

300

(a⁶ x a³) / a²

a⁷

400

b / b³

1 / b²

500

b⁶ x b² x c³ x c^-2

b⁸c

Surds

100

√5 * √10

5√ 2

200

(3√ 5)^2 

45

300

3√ 5 + 4√ 5

7√ 5

400

(√96)/(√8)

2√3

500

9√6 + 12√6 − 17√6 − 7√6

-3√6

Index Laws

100

(p / q)³

p³ / q³

200

(5 / p³)²

25 / p⁶

300

(2m / n)⁵

32m⁵ / n⁵

^or

2⁵m⁵ / n⁵

400

(-3 / f²g³)²

9 / f⁴g⁶

500

(4y²z / 2y⁵z³)²

4 / (y⁶z⁴)

Test your luck

100

Expand (x+3)(x+2)

x² +5x+6

200

What is the symbol for congruence?

≅

300

What are the three trig ratios?

S O/H, C A/H, T O/A

400

p^-3 / q^-2

q² / p³

500

What is the formula for the volume of a sphere?

V = 4/3 π r³

Combinations (Index laws)

100

(5a²b³) / (6a⁷b⁵) ÷ (a⁹b⁴)/(3ab⁶)

5/2a¹³

200

(2a³b)⁴ * 4a²b³

64a¹⁴b⁷

300

(-3a²b⁰ / 5c⁵d³)²

9a⁴ / 25c¹⁰d⁶

400

(a³b²)/5a⁴b⁷ * (2a⁶b)/(a⁹b³)

2/(5a⁴b⁷)

500

Which house team is going to win?

Freeman Fire!