Problem 6
Question
Evaluate each exponential expression. $$-2^{4}$$
Step-by-Step Solution
Verified Answer
-2^{4} = 16
1Step 1: Understanding the exponential notation
The exponential notation in the problem is -2^{4}. An exponent refers to the number of times a number is multiplied by itself. In this case, -2 is the base and 4 is the exponent. It means -2 is multiplied by itself 4 times.
2Step 2: Calculate the expression
Now, calculate the expression by multiplying -2 by itself four times i.e. (-2) * (-2) * (-2) * (-2). When a negative number is multiplied by itself an even number of times, the result is positive, because a negative times a negative equals a positive.
3Step 3: Result
After calculating the expression, we have: 16. Therefore, -2^{4} = 16.
Other exercises in this chapter
Problem 5
Evaluate each expression in Exercises \(1-12,\) or indicate that the root is not a real number. $$\sqrt{-36}$$
View solution Problem 6
Evaluate each algebraic expression for the given value or values of the variable(s). $$x^{2}+5 x, \text { for } x=6$$
View solution Problem 6
Find all numbers that must be excluded from the domain of each rational expression. $$\frac{x-3}{x^{2}+4 x-45}$$
View solution Problem 6
$$\text { Factor out the greatest common factor.}$$ $$6 x^{4}-18 x^{3}+12 x^{2}$$
View solution