if the conditions that
n -
is integer or
a
and
b
are real numbers and even one of them is greater than zero are hold. By using the mathematical notation this statement can be written out like this:

6. Multiplication with the same bases:

a^{n} · a^{m} = a^{n + m}

7. Power in power:

8. Division in power:

9. Division with the same bases:

10. Relationship between powers and logarithms:

Radicals (roots) formulas:

1. Relationship between powers and radicals (roots):

2. Negative power:

3. Root from root:

4. Root from multiplication:

5. Mutual reducement of the root and power exponents: