Evaluate -5^3

Problem

−5

Solution

1. Identify the order of operations. In the expression −5 the exponentiation applies only to the base 5 not to the negative sign.

2. Expand the power by multiplying the base by itself the number of times indicated by the exponent.

5=5⋅5⋅5

3. Calculate the product of the numbers.

5⋅5⋅5=125

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

−(125)=−125

Final Answer

−5=−125

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