We need to reduce this fraction to the lowest terms.

This can be done by dividing out those factors that appear both in the numerator 5^(5/6) and in the denominator 5^(3/2).

In our example, this is 5^(5/6).

Since we divide up and down by 5^(5/6) .

5^(5/6) divided by 5^(5/6) is 1.

5^(3/2) divided by 5^(5/6) is 5^((3/2) - (5/6)).