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So, \(1.08^{5} = 1.4693280768\)
Now what?

divide that by 1.08

5.86660095

on the calculator how did you get the answer for 1.08^5

That is right. You must find the exponent key. Usually \(x^{y}\).

so now what do I do

Mutiply by 4000 and you are done.

now you have 4000(5.86660095)
I got 23466.78 and it said it was wrong

I would try 23466.40. Not sure how you manged 0.78.