Problem 3
Question
Evaluate each exponential expression. $$ (-2)^{6} $$
Step-by-Step Solution
Verified Answer
The result of the given exponential expression \((-2)^{6}\) is 64.
1Step 1: Identify the Base and the Power
The base is -2 and the exponent, also known as power, is 6. The task is to multiply -2 by itself six times.
2Step 2: Apply the Exponential Rule
A crucial rule in exponents is that any negative base raised to an even power always yields a positive result. Since here, the base is -2 (a negative number) and the power 6 is an even number, the result will be positive.
3Step 3: Carry Out Multiplication
(-2) * (-2) * (-2) * (-2) * (-2) * (-2) equals 64 because a negative times a negative gives a positive and 2*2*2*2*2*2 equals 64.
Other exercises in this chapter
Problem 3
Evaluate each expression indicate that the root is not a real number. $$ -\sqrt{36} $$
View solution Problem 3
Factor out the greatest common factor. $$3 x^{2}+6 x$$
View solution Problem 3
Evaluate each algebraic expression for the given value or values of the variable(s). $$6 x-y,\quad for\quad x=3\quad and\quad y=8$$
View solution Problem 4
find all numbers that must be excluded from the domain of each rational expression. $$ \frac{x+7}{x^{2}-49} $$
View solution