\( \DeclareMathOperator{cosec}{cosec} \)

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

- 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 Video Indices, exponents and powers can all be used as a short way to describe repeated multiplication.
- Power Play Exercises on powers and roots and simplifying index expressions involving numbers of the same base.
- Indices True False Arrange the given statements involving indices to show whether they are true or false.
- Dr Tim's Indices Challenge Dr Tim Honeywill has come up with these challenges to test your understanding of indices and algebra.

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:

**Eight to the Unknown**

Solve the equation using the laws of indices more**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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