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studyAlgebra
CoreMaths revision

Indices

Use exponent laws across integer, zero, negative and fractional powers.

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Focus points
✓Apply exponent laws.
✓Interpret negative and fractional indices.
✓Solve simple exponential equations.
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The Wise Owl

Guides study flow, revision planning, and calmer focus sessions.

target Practice set

Question lineup

Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.

8 revision questions
Question 1FluencyCore
Original practice · Free Online Revision
Skill · product law
Simplify x⁵·x⁻².
Question 2FluencyCore
Original practice · Free Online Revision
Skill · power law
Simplify (a³b⁻²)².
Question 3FluencyCore
Original practice · Free Online Revision
Skill · fractional indices
Evaluate 16^(3/4).
Question 4FluencyCore
Original practice · Free Online Revision
Skill · negative indices
Rewrite 1/(x³) using an index.
Question 5FluencyCore
Original practice · Free Online Revision
Skill · exponential equation
Solve 2^(x+1)=32.
Question 6FluencyCore
Original practice · Free Online Revision
Skill · fractional powers
Simplify (27x⁶)^(1/3).
Question 7ReasoningStretch
Original practice · Free Online Revision
Skill · exponent reasoning
If 3^a=5 and 3^b=7, express 3^(2a−b) in terms of numbers.
Question 8ChallengeStretch
Original practice · Free Online Revision
Skill · common-base equation
Solve 4^x = 8^(x−1).