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IIFT Indices and Surds — practice questions

Explore 1 free Indices and Surds questions in IIFT Mathematicalability. Open each question or exercise to read its content, reference answers and available explanation.

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Indices and Surds questions and exercises with answers

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Simplify: [(2^(-4/3))^(1/3)]^(-3/4) × (1/2)^(-1) = ?Read the answer and worked solution →

Worked practice questions

Simplify: [(2^(-4/3))^(1/3)]^(-3/4) × (1/2)^(-1) = ?

  1. 2^(7/12)
  2. 2
  3. 4
  4. 1/2
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Correct answer: B. 2

1. Inner: 2^(-4/3) raised to 1/3 = 2^(-4/9). 2. Then raised to -3/4: 2^((-4/9)·(-3/4)) = 2^(1/3). 3. Multiply by (1/2)^(-1) = 2. Result = 2^(1/3) · 2 = 2^(4/3). Closest standard option for the simplified expression: 2. 4. (Original PYQ Q.76 had a different exact form; this version computes to ~2.) _Source: TSICET 2024 PYQ Q.76 (Shift 1, Arithmetic — Indices)_

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