Practice Quiz

SAT Math

Category - Number and Operations

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What is the value of (5^4-2^4)/(5^4-2×〖10〗^2 + 2^4 )?
  1. 21/29
  2. 22/27
  3. 27/23
  4. 29/21
  5. 31/19
Explanation
Answer: D - The value of the expression is 29/21.
(5^4-2^4)/(5^4-2×〖10〗^2 + 2^4 ) = ((5^2 )^2-(2^2 )^2)/((5^2 )^2-2×5^2×2^2 + (2^2 )^2 ) = ((5^2-2^2 )(5^2 + 2^2))/(5^2-2^2 )^2 = (5^2 + 2^2)/(5^2-2^2 ) = 29/21
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