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Evaluate -(-5)^3

Problem

−(−5)3

Solution

  1. Identify the order of operations, which requires evaluating the exponent before applying the leading negative sign.

  2. Expand the power by multiplying the base, −5 by itself three times.

(−5)3=(−5)⋅(−5)⋅(−5)

  1. Calculate the product of the three negative numbers.

(−5)⋅(−5)=25

25⋅(−5)=−125

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

−(−125)=125

Final Answer

−(−5)3=125


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