Practice Quiz

SAT Math

Category - Algebra and Functions

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Calculate (5/3 − (3/7)^( − 1) )^( − 2).
  1. − 9/4
  2. − 4/9
  3. 1
  4. 4/9
  5. 9/4
Explanation
Answer: E - The value of the expression is 9/4. Use a^( − x) = 1/a^x
(5/3 − (3/7)^( − 1) )^( − 2) = (5/3 − 7/3)^( − 2) = ( − 2/3)^( − 2) = ( − 3/2)^2 = (3/2)^2 = 9/4
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