1. 4. Indices and Algebra
Use powers to describe repeated multiplication c
Use powers in algebra to describe repeated multiplication 6b
Simplify algebraic expressions involving powers by collecting like terms b
Substitute integers into simple expressions involving small powers a
Simplify algebraic fractions by cancelling common factors c
Use the index laws for small positive powers of letters b
Link a diagram to an expression involving a power a
Reference Material
Text book: section 7.3
MEP: book 9.3 section 1 and 2

2. Use powers to describe repeated multiplication 6c
6 x 6 x 6 x 6 x 6 = 6⁵
2 x 2 x 7 x 7 x 7 = 2² x 7³
Use powers in algebra to describe repeated multiplication 6b
a x a x a x a x a x a = a⁶
a² x a³ = a⁵
a x a x a x a x d x d x d x d = a⁴d⁴
3a² x 5a³ = 15a⁵
4a⁴ x 6d⁴ = 24a⁴d⁴
21 May 2019

3. If a = 4 find the value of a² = a x a = 4 x 4 = 16
Simplify algebraic expressions involving powers by collecting like terms 6b
Substitute integers into simple expressions involving small powers a
3a² + 4a – 2a² + 9a = a² + 13a
2x² + 3xy + 3y² - x² - 2y² = x² + 3xy + y²
If a = 4 find the value of
a² = a x a = 4 x 4 = 16
a³ = a x a x a = 4 x 4 x 4 = 64
3a² = 3 x a x a = 3 x 4 x 4 = 48
2a³ = 2 x a x a x a + 4 = 2 x 4 x 4 x = = 132
9a - a² = 9 x a - a x a = 9 x x 4 = = 20
21 May 2019