We are given expression: [tex]4^{-1}[/tex]
We need to write the expression without negative exponents.
We need to convert it in positive exponents.
We know the rule of negative exponents as following:
[tex]a^{-n} = \frac{1}{a^n}[/tex]
On applying same rule, the 4 would go in the bottom of 1.
[tex]4^{-1} = \frac{1}{4^1}[/tex]
We know 4^1 = 4.
Therefore,
[tex]\frac{1}{4^1} = \frac{1}{4}[/tex]