Question

Simplify 5 to the power of -4 over 5 to the power of 3

Answer 1

`5^(-7)\text{ or }(1)/(5^7)`

EXPALANATION

We want to simplify the expression:

`(5^(-4))/(5^3)`

Because the numerator and denominator have the same base (5), we can subtract the power of the denominator from the numerator:

`\begin{gathered} 5^{-4\text{ - 3}} \\ \Rightarrow5^(-7) \\ \Rightarrow\text{ }(1)/(5^7) \end{gathered}`

That is the answer.