Question

Division Properties of Exponents HW.

Answer 1

Given the expressions:

`\begin{gathered} (4^5)/(4^2) \\ \text{and} \\ (4^2)/(4^5) \end{gathered}`

we can use the following property for exponents in quotients:

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

in this case, we have the following:

`\begin{gathered} (4^5)/(4^2)=4^(5-2)=4^3 \\ \text{and} \\ \frac{4^2}{4^5^{}}=4^(2-5)=4^(-3) \end{gathered}`

then, the difference between both expressions is that when they are simplified, they get opposite signs on their exponents.