Problem 9
Question
Evaluate each exponential expression. $$ -3^{0} $$
Step-by-Step Solution
Verified Answer
The value of \(-3^0\) is 1.
1Step 1: 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.
2Step 2: 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.
Other exercises in this chapter
Problem 9
Factor out the greatest common factor. $$x^{2}(x-3)+12(x-3)$$
View solution Problem 9
Evaluate each expression indicate that the root is not a real number. $$ \sqrt{25}-\sqrt{16} $$
View solution Problem 9
Evaluate each algebraic expression for the given value or values of the variable(s). $$4+5(x-7)^{3}, \text { for } x=9$$
View solution Problem 10
simplify each rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression. $$ \frac{x^{2}-8 x+16}{3 x-12}
View solution