Index laws

Simple index laws

100

y⁸ x y^-2

y⁶

200

(p⁵)²

p¹⁰

300

(p^-2)^-1

p²

400

(q²)³ x (q⁵/q)²

q¹⁴

500

y x (y(y³)²)²

^y15

Zero and negative indices

100

6^-1

1/6

200

9⁰

1

300

8^-2

1/64

400

(8/9)^-2

81/64

500

2^y=1/4

y=?

y=-2

Indices to products

100

(2cd⁴)³

8c³d¹²

200

(9a²)²

81a⁴

300

(16a⁴b³)^-2

1/256a^-8b^-6

400

(xy²)²/3x²

y⁴/3

500

(18a³b²)/6(a²b⁵)^-1

3a⁵b⁷

Write as a power of...

100

Write as a single power of 2:

4¹⁰

2²⁰

200

FOR EVERYONE

What is the number 1 song in Australia today? (song name and artist)

Flowers- Miley Cyrus

300

FOR EVERYONE

Who is the highest paid soccer player in the world?

Kylian Mbappé

400

Solve for x:

8^x=2⁹

x=3

500

Solve for x:

4^x=8⁶/2⁴

x=7

Extra hard questions

100

Simplify:

2^2y+2^2y

2^2y+1

200

FOR EVERYONE

In what state is the hottest town in Australia? (extra points if you know the town)

Western Australia- Marble Bar

300

100^a x 1000^b can be written in the form of 10^w.

Express w in terms of a and b

w=2a+3b

400

FOR EVERYONE

In what state is the coldest town in Australia? (extra points if you know the town)

Tasmania - Liawenee

500

FOR EVERYONE

What is the highest point on Christmas Island called?

(Bonus points if you know the elevation)

Murray Hill 

361m above sea level