Evaluate (-7)^-2

Problem

(−7)(−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.

(−7)(−2)=1/((−7)2)

3. Evaluate the power in the denominator by multiplying the base by itself.

(−7)2=(−7)×(−7)

(−7)2=49

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

1/49

Final Answer

(−7)(−2)=1/49

Want more problems? Check here!