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These are the Transum resources related to the statement: "Understand and use the laws of indices for all rational exponents.".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Dr Tim's Indices Challenge Dr Tim Honeywill has come up with these challenges to test your understanding of indices and algebra.
- Indices A self marking exercise on indices (powers or exponents) including evaluating expressions and solving equations.
- Indices Pairs The traditional pairs or pelmanism game adapted to test knowledge of indices.
- Indices True False Arrange the given statements involving indices to show whether they are true or false.
- Indices Video Indices, exponents and powers can all be used as a short way to describe repeated multiplication.

Here are some exam-style questions on this statement:

- "
*Without using a calculator, show clearly that \(27^{\frac23}\) is equal to \(9\).*" ... more - "
*Work out the exact value of \(n\).*" ... more - "
*Without using a calculator find the values of the following:*" ... more - "
*(a) The \(n\)th term of a sequence is \(2^n+2^{n+1}\)*" ... more - "
*If a, b and c are positive integers use the following statements to find the values of a, b and c.*" ... more - "
*\(y = a \times b^{x – 2}\) where \(a\) and \(b\) are numbers.*" ... more

Here are some Advanced Starters on this statement:

**Same Three Digits**

Find expressions which contain indices and evaluate to numbers containing the same digits. more **Seventeen Camels**

Explain the mathematics of the classic ninteenth century fraction sharing story. more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

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