It turns out that (0.125)^3 can be written as 2^a for some integer a. Find a.

Step-by-step explanation:

We begin with

First, we can convert this decimal into a fraction

Now, we can simplify the denominator of the fraction

Next, we can remove the fraction by rewriting the fraction with a negative power.

Lastly, we can remove the parenthesis by multiplying the powers together.

This means that

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph