A1 Expressions

Question 1

What are the three index laws?

Answer 1

• when multiplying, add the indices
  e. g. 3^2 x 3^3 = 3^5
• when dividing, subtract the indices
  e. g. 5^4 / 5^2 = 5^2
• with brackets, multiply the indices
  e. g. (4^2)^3 = 4^6

Question 2

How can you simplify expressions?

Answer 2

Using the three index laws.

Question 3

What should you check for before factorising an expression?

Answer 3

• common factors
• double brackets
• difference of two squares