Question

Write an expression with an exponent that has a value between 0 and 1

Answer 1

(1/2)^2, (2/5)^3

Explanation:

First, let's think in a couple of examples

`((1)/(2))^2 = (1^2)/(2^2) = (1)/(4)`

which is between 0 and 1

Another case is

`((2)/(5))^3 = (2^3)/(5^3) = (8)/(125)`

which is between 0 and 1

In general any expression with this form

`((n_1)/(n_2))^(n_3)`

where
`n_1 < n_2`,
`n_3 > 1` and
`n_1`,
`n_2` and
`n_3` are natural numbers; gives a result between 0 and 1.

Answer 2

`x^(1/2)`

The above expression has an exponent between 0 and 1. This number is 1/2 or 0.5.