Use exponent properties to interpret exponential expressions, including percent growth and decay.
Find the single-period percent change from a multi-period exponential factor
Problem
Find the single-period percent change from multi-period factor \(1.21\) over \(2~\text{periods}\).
Big Picture
What this problem is really about
Recovering one period from a multi-period factor reverses compounding. We’ll model the total factor as a power of the unknown period multiplier, take the applicable positive root, convert the recovered factor to a signed percent change, and recompound it as a check.
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