INDICES
What is the base and index in this expression: 5⁴?
Base = 5, Index = 4
Simplify: 3² × 3⁴
3⁶
What is a pronumeral?
A letter that represents a number (e.g. x, y)
Expand: 2(x + 3)
2x + 6
Solve: x + 5 = 12
x = 7
Write 10 × 10 × 10 in index notation.
10³
Simplify: 5⁶ ÷ 5²
5⁴
Simplify: 4x + 3x
7x
Expand: 5(a − 2)
5a − 10
Solve: 3x = 15
x = 5
Evaluate: 2⁵
32
Simplify: (2³)²
2⁶
Simplify: 5a − 2a + 6
3a + 6
Factorise: 6x + 3
3(2x + 1)
Solve: 2x + 3 = 11
x = 4
Write 36 as a product of prime factors using index notation.
2² × 3²
What is any number to the power of zero?
1 (except 0⁰, which is undefined)
Substitute x = 3 into 2x + 1
2(3) + 1 = 7
Factorise: x² + 5x
x(x + 5)
Solve: 4x − 1 = 2x + 5
x = 3
Estimate the square root of 50 and check with a calculator.
Estimate: about 7.1; Calculator: √50 ≈ 7.07
True or False: (a × b)² = a² × b²
True
Identify the like terms in this expression: 2x + 5 − 3x + 8
2x and −3x, 5 and 8
Expand and simplify: 2(x + 3) − x
2x + 6 − x = x + 6
Solve: x² = 36
x = ±6