Answer
$m = 4$
Work Step by Step
$5^{m} - 200 = 425$
$5^{m} = 425 + 200$
$5^{m} = 625$
$5^{m} = 5^{4}$
$m = 4$
Check:
$ 5^{m} - 200$
$= 5^{4} - 200$
$= 625 - 200$
$= 425$
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