perplexus.info :: Just Math : Find the Value of Inverse Expression Sum

Find the Value of Inverse Expression Sum (Posted on 2024-07-14)

Given that:
A+B+C=2023, and:
1/A + 1/B + 1/C =1/2024
Find the value of:
1/A²⁰²⁴ + 1/B²⁰²⁴ +1/C²⁰²⁴

No Solution Yet Submitted by K Sengupta

Rating: 1.0000 (1 votes)

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Possible Solution

| Comment 1 of 4

Valid solution without working, assuming A is the least term:

1/A²⁰²⁴≈6.5*10^(-6270); the other terms are smaller, but non-zero.

I'll post working later if no-one else attempts this.

Posted by broll on 2024-07-14 10:22:31

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