Number Properties Puzzle – Challenge 23

This is a great math puzzle for those who enjoy math puzzles. Let's challenge your brain!

Number Properties Puzzle – Challenge 23

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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Math and Critical Thinking Challenges: For the Middle and High School Student