Number Properties Puzzle – Challenge 23
Number Properties Puzzle - Challenge 23 is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.
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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