Question

Which of the following is equivalent to 2 to the power of negative 3?

a. (-2)(-2)(-2)
b. -1 / (2)(2)(2)
c. 1 / (2)(2)(2)
d. (2)(2)(2)

Answer 1

2 to the power of negative 3 is equivalent to 1 / (2)(2)(2).

Step-by-step explanation:

To find 2 to the power of negative 3, we can use the rule that a negative power is equivalent to putting the base in the denominator. In this case, it is equivalent to 1 divided by 2 to the power of 3. Writing it out, 2-3 is the same as 1 / (2)(2)(2). Therefore, the correct answer is c. 1 / (2)(2)(2).