Problem

Evaluate the exponential function $f(x)=5^{2 x}$ when $x=-1$

Answer

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Answer

The final answer is \(\boxed{0.04}\)

Steps

Step 1 :The problem is asking to evaluate the function \(f(x)=5^{2 x}\) at \(x=-1\). This means we need to substitute \(x=-1\) into the function and calculate the result.

Step 2 :Substitute \(x=-1\) into the function: \(f(-1)=5^{2(-1)}\)

Step 3 :Calculate the result: \(f(-1)=0.04\)

Step 4 :The final answer is \(\boxed{0.04}\)

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