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Multiple choice

Find approximate value of $(0.99)^{\frac{2}{3}}$.

  1. $0.9949$
  2. $0.9983$
  3. $0.9933$
  4. $0.9911$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Using binomial approximation (1-x)^n is approximately 1-nx for small x. (1-0.01)^(2/3) is approximately 1 - (2/3)*0.01 = 1 - 0.00666 = 0.99333.

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