We are given expression:
![4^(-1)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/be10jf3oegluux87vxu7us2zktnjl65chq.png)
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:
![a^(-n) = (1)/(a^n)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/wipucsszhgkcvdqzbrbr0b0e2po1xhgmvk.png)
On applying same rule, the 4 would go in the bottom of 1.
![4^(-1) = (1)/(4^1)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/nvuzv8urtaqspa35qjdni0uzxreo60hqs5.png)
We know 4^1 = 4.
Therefore,
![(1)/(4^1) = (1)/(4)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/6d711yaibc7en5fx9j4f3xm32322nys5xi.png)