Question

Write 1/3 as a power with an integer base

Answer 1

When the exponent is a fraction, you're looking for a root of the base. The root corresponds to the denominator of the fraction. For example, take "125 raised to the 1/3 power," or 125^1/3. The denominator of the fraction is 3, so you're looking for the 3rd root (or cube root) of 125

Answer 2

`3^(-1)`

Explanation:

Using the rule of exponents

`(1)/(a^(n) )` ⇔
`a^(-n)`

Given

`(1)/(3)` =
`(1)/(3^(1) )` =
`3^(-1)`