Problem 3
Question
Evaluate each exponential expression. $$(-2)^{6}$$
Step-by-Step Solution
Verified Answer
The expression (-2)^6 evaluates to 64.
1Step 1: Raise Base to the Power
The exercise involves simply raising the base (-2) to the given power (6). Considering that any number raised to an even power will be positive, (-2) raised to the power of 6 is (-2)*(-2)*(-2)*(-2)*(-2)*(-2). It can also be thought as the product of three (-2)*(-2) terms, which is positive 4 each.
2Step 2: Calculate Result
Now, multiply the results of three '4' together. This means, 4*4*4 = 64.
Other exercises in this chapter
Problem 2
Is the algebraic expression a polynomial? If it is, write the polynomial in standard form. $$2 x+3 x^{-1}-5$$
View solution Problem 3
Evaluate each algebraic expression for the given value or values of the variable(s). $$6 x-y, for\quad x=3\quad and\quad y=8$$
View solution Problem 3
Find all numbers that must be excluded from the domain of each rational expression. $$\frac{x+5}{x^{2}-25}$$
View solution Problem 3
$$\text { Factor out the greatest common factor.}$$ $$3 x^{2}+6 x$$
View solution