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Chapter 0: Problem 9

Evaluate each exponential expression. $$ -3^{0} $$

Short Answer

Expert verified
The value of \(-3^0\) is 1.

Step by step solution

01

Understanding exponential rules

In an exponential expression, the number being multiplied is the base and the number of times it is being multiplied is the exponent. The rule for any base to the power of 0 is that the result is always 1, unless the base 0 itself which is undefined. Therefore, when we see -3 raised to the power of zero, we apply this rule.
02

Applying exponential rule to the problem

Given the above rule, when you have -3 to the power of 0, it simplifies directly to 1 as \( (-3)^0 = 1 \) . This rule applies no matter whether the base is a negative or a positive number.

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