Very big & very small
Powers of 2
Powers of powers
Easy ones
100

Write 100 as a power of 10

10^2

100

Write in expanded form:

2^3

2 xx 2 xx 2

100

Write  (2^3)^2 in its simplest index form

 2^6 

100

Write an index number


 x^a 

200

What prefix shows 1,000

Kilo

200

Calculate and write as an integer:

2^3 xx 2^2

32

200

Write  ((2^1)^1)^1 as an integer

2

200

What prefix would you use for a million?

Mega

300

In powers of 10 notation, how many litres in a gigalitre? 

10^9

300

Simplify:

2^3 xx 2^5 xx 2^1 xx 2^0

2^9

300

Write as an integer:

(2^3)^2 xx 2

128

300

How many zeros would there be in the number 

10^11

11

400

What prefix would you use to show 

1/1000

Milli as in millimetre and millilitre

400

Write 2^3 / 2^4  in index form AND as a number


 1/2 

400

Use your index laws to work out  (5^2)^(1/2) as a number

5

400

Calculate 

10^27/10^27

 1 

500

Write Avagadro's number: 602,000,000,000,000,000,000,000 in scientific form


 6.02xx10^23 

500

Start with one grain of rice on the first square of a chess board, double it on the next square and continue. In index notation, how many grains of rice will be on the last square?


 2^63 

500

 Write 25^(-1/2) in it's simplest form

1/5

500

Is 

2^2/2^3

bigger or smallet than one?


Smaller, it is  1/2