(Answered) A simple equation to relate the scale size of the universe

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A simple equation to relate the scale size of the universe today to the scale size of the universe at a previous time in the history of the universe is 1 + z = a_today/a_then where a_then is the scale size at the time in the past, a_today= 1 is the assumed scale size today, and z is the redshift. Using the redshift value of 1100 for a time just after the big bang when the universe was a hot gas, how many times has the universe since expanded?

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