Number Properties Puzzle – Challenge 23
This is a great math puzzle for those who enjoy math puzzles. Let's challenge your brain!
Challenge:
\((2^{89}-2^{88} )( 2^{77}-2^{76})=\)
A- \(2^{2}\)
B- \(2^{76}\)
C- \(2^{77}\)
D- \(2^{88}\)
E- \(2^{165}\)
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The correct answer is E.
\((2^{89}-2^{88} )( 2^{77}-2^{76})= ?\)
Factorize common factors:
\(2^{88} (2-1) × 2^{76} ( 2-1) = 2^{88} × 2^{76} = 2^{164}\)
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