These lessons help GCSE/IGCSE Maths students learn about indices by working through some examination questions.

**Related Pages**

Exam Questions On Indices

Rules Of Indices

More GCSE Maths Lessons

Math Worksheets

x^{1} means x multiplied repeatedly by itself n times.

x^{m}x^{n} = x^{m + n}

(x^{m})^{n} = x^{mn}

(x^{m}y^{n})^{p} = x^{mp}y^{np}

x^{m}/x^{n} = x^{m-n}

x^{0} = 1

x^{-n} = 1/x^{n}

**Examples:**

- Work out 56
^{1}- 56^{0} - Explain why 27
^{1/3}= 3 - Write 27
^{-1/3}as a fraction. - Work out the value of 64
^{2/3} - Work out all solutions of the equation: 8
^{m}= 2^{m2} - Show clearly that 4
^{3/2}= 8

. Hence, or otherwise, work out the value of y if 4^{y}= 8^{6} - Write down the value of 2
^{0}. - Simplify 7
^{18}÷ (7^{3})^{2}. Give your answer as a power of 7. - A patient has a disease. She has 4
^{3}body cells on day 1. The number of affected cells doubles every day. The disease becomes serious when 2^{10}body cells are affected. On which day does the disease become serious? You must show your working. - Work out 10
^{-2}× 64^{1/2}. - Write down the square of the cube root of x using index notation.
- Given x = 8, what is the value of the square of the cube root of x?
- Work out the value of 9
^{-3/2}. - Evaluate 27
^{-2/3}. - Explain why 25
^{4}= 5^{8}. - Write 4
^{-1}as a fraction. - Work out 8
^{4/3}.

**Indices (Exponents) : C1 Edexcel June 2013 Q3**

(a) Find the value 8^{5/3}

(b) Simplify fully (2x^{1/2})^{3}/(4x^{2})

**Indices Tricky - GCSE Further Maths revision Exam paper practice & help**

**Example:**

x^{3/2} = 8 where x > 0 and y^{-2} = 25/4 where y > 0.

Work out the value of x/y.

**Indices beastie - Dare you try this difficult question**

**>Indices and Surds - GCSE Maths Higher revision Exam paper practice & help**

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