Evaluate 4^-4

Problem

4(−4)

Solution

1. Identify the negative exponent rule, which states that a(−n)=1/(an) for any non-zero base a

2. Apply the rule to rewrite the expression as a fraction with a positive exponent.

4(−4)=1/4

3. Calculate the value of the denominator by multiplying the base by itself four times.

4×4×4×4=256

4. Substitute the calculated value back into the fraction.

1/4=1/256

Final Answer

4(−4)=1/256

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