Evaluate 9^-2

Problem

9(−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 rewrite the expression as a fraction with a positive exponent.

9(−2)=1/9

3. Calculate the value of the denominator by squaring the base.

9=81

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

1/9=1/81

Final Answer

9(−2)=1/81

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