AQA
GCSE
Maths
Index laws
AQA GCSE Maths revision on Index laws. Aligned to the AQA GCSE Mathematics 8300 specification. This bank has 23 practice questions on this topic.
Sample questions (3 of 23)
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Question 1
Simplify 2^3 x 2^2.
- A) 2^5
- B) 2^6
- C) 4^5
- D) 8
Show answer
Answer: 2^5
Index law: a^m x a^n = a^(m+n). So 2^3 x 2^2 = 2^(3+2) = 2^5.
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Question 2
Simplify x^5 / x^2.
- A) x^3
- B) x^7
- C) x^10
- D) x^2.5
Show answer
Answer: x^3
Index law: x^m / x^n = x^(m-n). So x^5 / x^2 = x^3.
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Question 3
Simplify (x^3)^4.
- A) x^7
- B) x^12
- C) x^81
- D) x^3
Show answer
Answer: x^12
Index law: (a^m)^n = a^(mn). So (x^3)^4 = x^(3x4) = x^12.
Want to test yourself on the remaining cards for this topic?
20 more questions on Index laws — plus mistakes tracking and spaced repetition across the whole Maths spec.