Question

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

Answer 1

Answer:

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

Step-by-step explanation:

First, let's think in a couple of examples

$(\frac{1}{2})^2 = \frac{1^2}{2^2} = \frac{1}{4}$

which is between 0 and 1

Another case is

$(\frac{2}{5})^3 = \frac{2^3}{5^3} = \frac{8}{125}$

which is between 0 and 1

In general any expression with this form

$(\frac{n_1}{n_2})^{n_3}$  

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.