Index laws
Edexcel GCSE Maths revision on Index laws. Aligned to the Pearson Edexcel GCSE Mathematics 1MA1 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.