Evaluate 6^-2

Problem

6(−2)

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 the expression by moving the base to the denominator and changing the sign of the exponent.

6(−2)=1/6

3. Calculate the value of the exponent in the denominator by multiplying the base by itself.

6=36

4. Substitute the calculated value back into the fraction to find the final result.

1/36

Final Answer

6(−2)=1/36

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