How would you cancel down this fraction? 32 40

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

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?

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?

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 2 7 2 2 7 a 3 ÷ 6 m n ÷ 2 6 ÷ m y n ÷ 5 7 ÷ y m y n 2 6 2 5

True or False? = 9 2 3 ÷ 6

True or False? = 6 y ÷ 5

True or False? = 4 6 2 3 ÷

True or False? = 6 a 3 ÷ 2

True or False? = 6 4a 3 2a ÷

True or False? = 3 2 5 ÷

True or False? = 3 2 ÷ 1

a a 5 (0.2) (1/5) In your books: (a + b) m (b + a) n y 3n+1 y n 3 7 3 3 a 6 ½ ÷ (a + b) m (b + a) n 6 a 2 ÷ 5 7 ÷ y 3n+1 y n 8 (0.2) 6 (1/5) ÷

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

Challenge: Simplify y 3 × y 5 × y y 6

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

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

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?