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Evaluate -2^3

Problem

−2

Solution

  1. Identify the order of operations. According to the rules of exponents, the power applies only to the base directly to its left unless parentheses are present.

  2. Apply the exponent to the base 2 This means calculating 2 raised to the power of 3

2=2⋅2⋅2

  1. Calculate the product of the base.

2⋅2⋅2=8

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

−(8)=−8

Final Answer

−2=−8


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