4MA1/1F Jun 2024, Question 25: Index Laws with Letters
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 4 marks
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The question, in short
Simplify a zero power of 2p, find n from a product of powers of y, and expand a cubed product of 5a⁴c².
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 1 mark
Simplify (2p)⁰ given p > 0.
- 1(2p)⁰ = 1
Answer1
Part (b) · 1 mark
Given y⁹ × y⁻³ = yⁿ, find the value of n.
- 1y⁹ × y^(−3) = y^(9 − 3)
- 2y⁶
- 3n = 6
Answer6
Part (c) · 2 marks
Simplify fully (5a⁴c²)³.
- 1Cube each factor: 5³ × (a⁴)³ × (c²)³.
- 25³ = 125, (a⁴)³ = a¹² and (c²)³ = c⁶.
- 3So the answer is 125a¹²c⁶
Answer125a¹²c⁶
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