Question 14
IndicesSimplify (3n − 3n−1)/(33 × 3n − 27 × 3n−1)
- A.1
- B.0
- C.1/27
- D.3n − 3n−1
- E.2/27
Show the answer and explanation
Answer: C (1/27)
Explanation
27 × 3ⁿ − 27 × 3ⁿ⁻¹ = 27(3ⁿ − 3ⁿ⁻¹). Cancelling (3ⁿ − 3ⁿ⁻¹) leaves 1/27.
Simplify (3n − 3n−1)/(33 × 3n − 27 × 3n−1)
Answer: C (1/27)
27 × 3ⁿ − 27 × 3ⁿ⁻¹ = 27(3ⁿ − 3ⁿ⁻¹). Cancelling (3ⁿ − 3ⁿ⁻¹) leaves 1/27.