1. How would you cancel down this fraction?
32 40

2. Write the numerator and denominator as a product of prime factors (not in index form)
32 40

3. How can this help you to cancel down?
Write the numerator and denominator as a product of prime factors (not in index form)
2 x 2 x 2 x 2 x 2 2 x 2 x 2 x 5
How can this help you to cancel down?

4. What if it was written in index form?
2 x 2 x 2 x 2 x 2 2 x 2 x 2 x 5
What power of 2 will you be left with?

5. 2 5 On your whiteboards: a 6 y 2 7 2 2 y m y n 2 6 2 5 6 ÷ 7 ÷ 7 3 ÷ m 7 a 3 ÷ 6 m n ÷ 2 6 ÷ m y n ÷ 5 7 ÷
y m y n

6. True or False? = 9 2 3 ÷ 6

7. True or False? = 6 y ÷ 5

8. True or False? = 4 6 2 3 ÷

9. True or False? = 6 a 3 ÷ 2

10. True or False? = 6 4a 3 2a ÷

11. True or False? = 3 2 5 ÷

12. True or False? = 3 2 ÷ 1

13. a a 5 (0.2) (1/5) In your books: (a + b) m (b + a) n y 3n+1 y n a 6 ÷
(a + b) m (b + a) n 6 a 2 ÷ 5 7 ÷
y 3n+1 y n 8
(0.2) 6
(1/5) ÷

14. Recap: = 6 4 ÷ 2 = a ÷ 9 4 = 8 (a 3
a ) ÷ a ÷ = 3m y ÷ m = 4 2 ÷ 1

15. Challenge: Simplify
y 3 × y 5 × y y 6

16. Challenge: Simplify
v 3 × w 5 × y v 2 × w 5 × y 5

17. Challenge: Simplify
𝑎 𝑏 2 (𝑎+𝑏) 3 𝑎 (𝑎+𝑏) 6

18. Challenge: Write three challenges of your own
Challenge: Write three challenges of your own. Write them in order of increasing difficulty. Why have you ordered them in the way that you have?