# 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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$$(2^{89}-2^{88} )( 2^{77}-2^{76})= ?$$
Factorize common factors:
$$2^{88} (2-1) × 2^{76} ( 2-1) = 2^{88} × 2^{76} = 2^{164}$$

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