Radicals and powers formulas

Power formulas:

1. Power definition:

2. Number in zero power:

a⁰ = 1 при условии, что a ≠ 0

3. Number in first power:

a¹ = a

4. Negative power transformation:

5. Multiplication in power:

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:

aⁿ · 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: