Respuesta :
The expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]
From the question,
We are to evaluate 5^-4.
First, we will write the expression properly.
The given expression is 5⁻⁴
Now, we will write the expression as a fraction
From one of the laws of indices, we have that
[tex]a^{-x} =\frac{1}{a^{x} }[/tex]
Therefore,
[tex]5^{-4} =\frac{1}{5^{4} }[/tex]
In simplest form
[tex]\frac{1}{5^{4} } = \frac{1}{625}[/tex]
Hence, the expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]
Learn more on simplifying expressions here: https://brainly.com/question/12985890
