Question

I need help with number 14 and can you please write your answer using only positive exponents

Answer 1

`-(4)/(r^8)`

Explanation:

Given the expression:

`-4r^(-8)s^0`

First, any number (except 0) raised to the power of 0 is 1. Thus:

`-4r^(-8)s^0=-4r^(-8)*1=-4r^(-8)`

Next, apply the negative index law of indices:

`a^(-n)=(1)/(a^n)`

Therefore:

`\begin{gathered} -4r^(-8)=-4* r^(-8) \\ =-4*(1)/(r^8) \\ =-(4)/(r^8) \end{gathered}`

The given expression written using positive exponents only is:

`-(4)/(r^8)`