Question

5^4 / 5^7 simplify the monomial

Answer 1

Use the quotient rule of exponents to simplify the answer.

The quotient between two powers n and m of the same base a can be rewritten as:

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

Then:

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

Therefore, the monomial can be simplified to:

`5^(-3)`