Evaluate 8^-2

Problem

8(−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.

8(−2)=1/8

3. Calculate the value of the denominator by squaring the base 8

8=64

4. Substitute the calculated value back into the fraction.

1/8=1/64

Final Answer

8(−2)=1/64

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