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A Fraction With Exponential Expressions (Posted on 2024-06-16)

Simplify this expression:

2^23 - 2^22 - 2^21 - 1
------------------------
1 + 2 + 2^2 + ... + 2^20

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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Solution

Comment 3 of 3 |

Numerator:

2^23 - 2^22 - 2^21 - 1

= 2^22 - 2^21 - 1

= 2^21 - 1

Denominator:

1 + 2 + 2^2 + ... + 2^20

= 2^21 - 1

Numerator = Denominator

The fraction = 1

Posted by Larry on 2024-06-16 21:34:15

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