find the prime factorisation of 45 and 60. Use the answer to fin the HCF.
45→5 x 3² 60→5 x 3 x 2²
HCF = 15
If w = 2² x 3 x 5 then find the prime factorisation of 36w
5 x 3³ x 2⁴
2/12 ÷ 3/7 =?
7/18
A bike has a two digit lock from 1→9. How many possible combinations are there?
81
How many possible ways can you order the numbers
1, 5, 6, 7, 5
120
A three digit lock has number 3→8 including 3 and 8. How many possible combinations can be made without repeating a number?
120
find (5/4)⁻⁴
256/625
find (7/11)⁻⁴
14641/2401