Evaluate -2^6

Problem

−2

Solution

1. Identify the order of operations. According to the rules of exponents, the exponentiation applies only to the base directly to its left.

2. Apply the exponent to the base 2 The negative sign is treated as a multiplication by −1 that occurs after the exponentiation.

3. Calculate the power of 2 by multiplying 2 by itself six times.

2=2⋅2⋅2⋅2⋅2⋅2

2=64

4. Apply the negative sign to the result of the exponentiation.

−(64)=−64

Final Answer

−2=−64

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