Question

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

Answer 1

-9

Explanation:

Answer 2

`a=-9`

Explanation:

We begin with
`(0.125)^3`

First, we can convert this decimal into a fraction

`((1)/(8) )^3`

Now, we can simplify the denominator of the fraction

`((1)/(2^(3) ) )^3`

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

`(2^(-3) )^3`

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

`2^(-9)`

This means that
`a=-9`