Can anyone tell me what does the period symbol represent in this context?
$5^5.2^2$
That dot is a multiplication symbol. It's relatively standard in some parts of the world (I've seen it used on Numberphile from time to time, for instance) to use a lower $.$ rather than a centered $\cdot$
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That dot is a multiplication symbol. It's relatively standard in some parts of the world (I've seen it used on Numberphile from time to time, for instance) to use a lower $.$ rather than a centered $\cdot$