4024/11 Oct/Nov 2022, Question 6: Laws of Indices
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
Three short simplification tasks: express a repeated multiplication as a power, evaluate a square root squared, and expand a power of a product.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 1 mark
Write the product of five 4s as a single power of 4.
- 1Five 4s multiplied: 4⁵
Answer4⁵
Part (b) · 1 mark
Simplify the square of the square root of 5.
- 1(√5)² = √5 × √5 = 5
Answer5
Part (c) · 1 mark
Simplify the fourth power of 2x³.
- 1(2x³)⁴ = 2⁴ × (x³)⁴ = 16x¹²
Answer16x¹²
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Also searched as: 4024/11/O/N/22 · 4024_w22_qp_11 · 4024 w22 11 · question 6.
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