Evaluate 4^-1

Problem

4^(−1)

Solution

1. Identify the rule for negative exponents, which states that any non-zero number raised to a negative power is the reciprocal of that number raised to the positive power.

2. Apply the formula a^(−n)=1/(a^n) to the given expression where a=4 and n=1

3. Substitute the values into the formula to rewrite the expression as a fraction.

4. Simplify the denominator by calculating 4^1 which equals 4

Final Answer

4^(−1)=1/4

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