0580/11 May/Jun 2021, Question 17: Index Laws with Letters
Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 4 marks
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The question, in short
Powers and indices: express a repeated multiplication as a power of 2, solve an index equation for t, and simplify a product of terms in w.
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Part (a) · 1 mark
Write 1/(2 × 2 × 2 × 2 × 2) as a single power of 2.
- 12 × 2 × 2 × 2 × 2 = 2⁵
- 21/2⁵ = 2⁻⁵
Answer2⁻⁵
Part (bi) · 1 mark
Given 3¹⁸ ÷ 3ᵗ = 3⁶, find the value of t.
- 118 − t = 6
- 2t = 12
Answer12
Part (bii) · 2 marks
Simplify 8w¹⁰ × 6w⁵.
- 18 × 6 = 48 and w¹⁰ × w⁵ = w¹⁵
- 2= 48w¹⁵
Answer48w¹⁵
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Also searched as: 0580/11/M/J/21 · 0580_s21_qp_11 · 0580 s21 11 · question 17.
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