Question

Describe how (2^3) (2^-4) can be simplified

Answer 1

The simplified form of
`(2^3)(2^(-4))` is:

`(1)/(2)`

Explanation:

We have to describe, how to simplify
`(2^3)(2^(-4))`

Now, we start our solution,

`(2^3)(2^(-4))` this could also be written as:

`(2^3)/(2^4)\\\\\\=(1)/(2)`

Hence, the simplified form of
`(2^3)(2^(-4))` is:

`(1)/(2)`

Answer 2

`2^(-7)`

Explanation:

we have

`(2^(-3))(2^(-4))`

In this problem we know that the base remains the same and you will have to add the exponents to simplify.

so

`(2^(-3))(2^(-4))=2^(-3-4)`

`=2^(-7)`