Evaluate (-7)^3

Problem

(−7)3

Solution

1. Identify the base and the exponent in the expression. The base is −7 and the exponent is 3

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

(−7)3=(−7)⋅(−7)⋅(−7)

3. Multiply the first two factors. Since the product of two negative numbers is positive, (−7)⋅(−7)=49

49⋅(−7)

4. Multiply the result by the remaining factor. Since the product of a positive and a negative number is negative, 49⋅(−7)=−343

Final Answer

(−7)3=−343

Want more problems? Check here!