Question

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

Answer 1

We have the following expression given:

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

For this case since we have the same base 5 we can apply the following rule:

`(a^x)/(a^y)=a^(x-y)`

And using this rule we have:

`(5^(-4))/(5^3)=5^(-4-3)=5^(-7)`

And the best answer for this case would be:

`5^(-7)=(1)/(5^7)`