SAT Math Practice Exam

Category - Mathematics - Hard

What is the value of (0.2)5 ?
  1. 0.00032
  2. 0.0016
  3. 0.008
  4. 0.32
Explanation
Answer - A- Tackle the problem in two stages. First find the value of exponent ignoring the decimal. Second, find the position of the decimal.

25 = 2 x2 x 2 x2 x 2 x 2 = 32
(0.2)5 = 0.2 x 0.2 x 0.2 x 0.2 x 0.2 x 0.2 = 0.00032


Key takeaway: In decimal based exponents’ problems, be careful in placing decimal at correct position.
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