Problem 4
Question
Evaluate each exponential expression. $$ (-2)^{4} $$
Step-by-Step Solution
Verified Answer
The value of \(-2^4\) is 16.
1Step 1: Understand the Base and the Exponent
In our expression \(-2^4\), the base is \(-2\), and the exponent is \(4\). This means we have to multiply the base, \(-2\), by itself \(4-1=3\) more times (since the first \(-2\) is already counted). Remember, an exponent of 4 means that we have to use the base number 4 times in a multiplication.
2Step 2: Perform the operation
We do the multiplication as follows: \[(-2) \times (-2) \times (-2) \times (-2)\] A negative times a negative gives a positive, so here we will have four pairs of \(-2\) times \(-2\), which yields a positive result each time. That is: \[(4) \times (4)\] This equals 16.
Other exercises in this chapter
Problem 4
In Exercises 1–4, is the algebraic expression a polynomial? If it is, write the polynomial in standard form. $$ x^{2}-x^{3}+x^{4}-5 $$
View solution Problem 4
Factor out the greatest common factor. $$4 x^{2}-8 x$$
View solution Problem 4
Evaluate each algebraic expression for the given value or values of the variable(s). $$8 x-y,\quad for\quad x=3\quad and\quad y=4$$
View solution Problem 5
find all numbers that must be excluded from the domain of each rational expression. $$ \frac{x-1}{x^{2}+11 x+10} $$
View solution