Question

Simplify 5 to the negative 4th power over 5 to the 3rd. 57 5−1 1 over 5 1 over 5 to the 7th power

Answer 1

The value of the provided expression is
`5^(-7)` or
`(1)/(5^7)`.

Explanation:

Consider the provided information.

We need to find the simplify form of the expression:

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

Use the quotient rule of exponent:

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

Now use the above rule of exponent.

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

`5^(-4-3)`

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

Hence, the value of the provided expression is
`5^(-7)` or
`(1)/(5^7)`.

Answer 2

5^-4 / 5^3
= 5^-1
= 1/5

answer
5^−1
1 over 5