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:

$\frac{a^n}{a^m}=a^{n-m}$

Then:

$\frac{5^4}{5^7}=5^{4-7}=5^{-3}$

Therefore, the monomial can be simplified to:

$5^{-3}$