Hard question Arithmetic

Is this valid?
I looked at the realatin between the powers of x and y and compared it to the power of 10.
In equation 1, the powers of x and y were 4, corresponding to the 10^2.

In equation 2, as the powers were 100, the power of 10 was 50.

So I deduced, the power of 10 that corresponds to the x and y, with powers 1 would be 1/2… Let me know how lucky I got?

Yes, you did get lucky.

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