Laws of Indices
Simplify a2 x a5
a7
Convert 300 to standard form
3 x 102
A colony of ants contains 8.1 x 104 ants. Express this as a normal number.
81,000
(3 x 103) + (4 x 103)
7 x 103
How many sides does a pentagon have?
5
Simplify (3a)2
9a2
Convert 0.00035 to standard form
3.5 x 10-4
A colony of ants contains 8.1 x 104 ants. How many ants would there be in 10 colonies?
8.1 x 105
(3 x 103) x (4 x 103)
1.2 x 107
What does the chemical symbol Ag represent?
Silver
Simplify 16a9 ÷ 2a4
8a5
Write 1.201 x 104 as a normal number
12010
A colony of ants contains 8.1 x 104 ants. Express this as a normal number. A disease kills 90% of the ants. How many are remaining?
8.1 x 103
(3 x 105) - (4 x 104)
2.6 x 105
What is the largest planet in the solar system?
Jupiter
Rewrite without brackets or negative indices:
(4a2)-3
1/64a6
Convert 321 x 107 to standard from
3.21 x 109
A colony of ants contains 8.1 x 104 ants. 10 years ago there were 7.5 x 103 ants in the colony. How many extra ants now live in the colony?
7.35 x 104
(3 x 105) + (4 x 104) + (7 x 104)
4.1 x 105
Which ocean lies between Africa and Australia?
Indian Ocean
Rewrite without brackets or negative indices:
3(a-4b)-2 ÷ 24a(b)-3
a7b/8 or 1/8a7b
Convert 0.000304 x 10-5 to standard form.
3.04 x 10-9
A colony of ants contains 8.1 x 104 ants. Each ant needs to gather 3.1 x 103 pieces of food a year. How many pieces of food does the colony need in total?
2.511 x 108
(2.5 x 107) ÷ (5 x 104)
5 x 102
Which is the only country to contain each of the 5 vowels exactly once in its name?
Mozambique