Problem

Rewrite the expression without using a negative exponent. \[ 2 m^{-4} \] Simplify your answer as much as possible.

Solution

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 \(\boxed{2 \cdot \frac{1}{m^4}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/43175/

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