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Evaluate 2^-2

Problem

2(−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.

2(−2)=1/2

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

2=4

  1. Simplify the fraction to find the final numerical value.

1/4=0.25

Final Answer

2(−2)=1/4


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