Step 1 :The given expression is \(2 m^{-4}\).
Step 2 :In mathematics, a negative exponent indicates that the base is the reciprocal of the base to the positive exponent.
Step 3 :Therefore, we can rewrite the expression by taking the reciprocal of the base to the positive exponent.
Step 4 :In this case, the base is m and the exponent is -4.
Step 5 :The reciprocal of m to the positive 4 is \(\frac{1}{m^4}\).
Step 6 :Therefore, the expression can be rewritten as \(2 \cdot \frac{1}{m^4}\).
Step 7 :So, the final answer is \(\boxed{2 \cdot \frac{1}{m^4}}\).