Answer: D - The value of the expression is 29/21.(54-24)/(54-2×〖10〗2 + 24 ) = ((52 )2-(22 )2)/((52 )2-2×52×22 + (22 )2 ) = ((52-22 )(52 + 22))/(52-22 )2 = (52 + 22)/(52-22 ) = 29/21

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SAT Prep

Category - Math

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What is the value of (5⁴-2⁴)/(5⁴-2×〖10〗² + 2⁴ )?

21/29
22/27
27/23
29/21
31/19

Explanation

Answer: D - The value of the expression is 29/21.
(5⁴-2⁴)/(5⁴-2×〖10〗² + 2⁴ ) = ((5² )²-(2² )²)/((5² )²-2×5²×2² + (2² )² ) = ((5²-2² )(5² + 2²))/(5²-2² )² = (5² + 2²)/(5²-2² ) = 29/21

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