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Chapter 5: Problem 91

Explain the difference between \((-7)^{0}\) and \(-7^{0}\).

Short Answer

Expert verified
\((-7)^{0}\) equals 1 and \(-7^{0}\) equals -1.

Step by step solution

01

Evaluate \((-7)^{0}\)

Remember that any nonzero number raised to the power of 0 equals 1. Therefore, \((-7)^{0}\) equals 1.
02

Evaluate \(-7^{0}\)

In this case, the negative sign applies to the base number, but the rule that any number to the power of 0 equals 1 is still in effect. The negative sign remains, resulting in \(-7^{0}\) equals -1.
03

Compare the Results

Comparing \((-7)^{0}\) and \(-7^{0}\), it is clear that they have different outcomes. \((-7)^{0}\) equals 1 while \(-7^{0}\) equals -1.

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