SOLUTION: If 2^-x = 5, then what does 2^2x equal? Express your answer in exact form.

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Question 61499: If 2^-x = 5, then what does 2^2x equal? Express your answer in exact form.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
2%5E%28-x%29+=+5
take reciprocal of both sides
2%5E%28%28-x%29%2A%28-1%29%29+=+1%2F5
2%5Ex+=+1%2F5
2%5E%282x%29+=+2%5E%28x%2A2%29
2%5E%28x%2A2%29+=+%281%2F5%29%5E2
2%5E%28x%2A2%29+=+1%2F25 answer