Show WorkingWorked example 1: laws of indices
Simplify x5 × x4.
- When you multiply powers of the same letter, add the powers.
- 5 + 4 = 9, so the answer is x9.
Answer x9
AlgebraFoundation and Higher
Powers and indices: GCSE maths practice with worked answers
Show Working has 1 kind of powers and indices question for GCSE Maths, for Foundation and Higher. Every question is new each time and comes with the working, step by step.
The laws of indices tell you how to multiply, divide and raise powers of the same letter or number. When you multiply you add the powers, when you divide you subtract them, and a power of a power multiplies them.
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Powers and indices questions in the app
Each kind makes fresh questions every time, so you can practise as often as you like.
- Laws of indicesBoth tiers
Worked example 2: laws of indices
Simplify 4y92y2.
- Divide the numbers: 4 ÷ 2 = 2.
- Subtract the powers of y: 9 − 2 = 7.
- Put them together: 2y7.
Answer 2y7
A common mistake
Multiplying the powers when multiplying terms. x5 × x4 is x9, because the powers are added.
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Practise powers and indices in Show Working
In the app, open Topics and choose Powers and indices for ten fresh questions. Ask for a hint if you are stuck, and open the working to see the method one step at a time.
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